﻿162:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.313202:0.884514:0.320161:0.884514:0.320161:0.873453:0.313202:0.873453:0.000000
A’:@0.520454:0.899069:0.529116:0.899069:0.529116:0.888007:0.520454:0.888007:0.000000:0.000000
B’:@0.688906:0.897533:0.697641:0.897533:0.697641:0.886472:0.688906:0.886472:0.000000:0.000000
P’:@0.592944:0.855688:0.601715:0.855688:0.601715:0.844627:0.592944:0.844627:0.000000:0.000000
P:@0.354562:0.855689:0.360773:0.855689:0.360773:0.844628:0.354562:0.844628:0.000000
C’:@0.627663:0.812097:0.636839:0.812097:0.636839:0.801036:0.627663:0.801036:0.000000:0.000000
D’:@0.520466:0.813633:0.530843:0.813633:0.530843:0.802572:0.520466:0.802572:0.000000:0.000000
B:@0.425006:0.884505:0.431364:0.884505:0.431364:0.873444:0.425006:0.873444:0.000000
C:@0.383659:0.825889:0.390458:0.825889:0.390458:0.814828:0.383659:0.814828:0.000000
D:@0.312701:0.825889:0.320627:0.825889:0.320627:0.814828:0.312701:0.814828:0.000000
2:@0.291776:0.855689:0.298061:0.855689:0.298061:0.844637:0.291776:0.844637:0.000000
 cm:@0.298061:0.855689:0.315371:0.855689:0.315371:0.844628:0.298061:0.844628:0.000000:0.000000:0.000000
2,3:@0.406115:0.849943:0.421220:0.849943:0.421220:0.838891:0.406115:0.838891:0.000000:0.000000:0.000000
 cm:@0.423425:0.849943:0.440736:0.849943:0.440736:0.838881:0.423425:0.838881:0.000000:0.000000:0.000000
3:@0.350985:0.888974:0.357270:0.888974:0.357270:0.877922:0.350985:0.877922:0.000000
 cm:@0.357270:0.888974:0.374581:0.888974:0.374581:0.877913:0.357270:0.877913:0.000000:0.000000:0.000000
3,03:@0.490856:0.855689:0.512246:0.855689:0.512246:0.844637:0.490856:0.844637:0.000000:0.000000:0.000000:0.000000
 cm:@0.512246:0.855689:0.529557:0.855689:0.529557:0.844628:0.512246:0.844628:0.000000:0.000000:0.000000
3,45:@0.659308:0.847920:0.680698:0.847920:0.680698:0.836868:0.659308:0.836868:0.000000:0.000000:0.000000:0.000000
 cm:@0.681556:0.847920:0.698866:0.847920:0.698866:0.836859:0.681556:0.836859:0.000000:0.000000:0.000000
4,5:@0.592944:0.900789:0.608050:0.900789:0.608050:0.889737:0.592944:0.889737:0.000000:0.000000:0.000000
 cm:@0.608050:0.900789:0.625360:0.900789:0.625360:0.889728:0.608050:0.889728:0.000000:0.000000:0.000000
60º:@0.389432:0.871233:0.406351:0.871233:0.406351:0.860181:0.389432:0.860181:0.000000:0.000000:0.000000
A:@0.285100:0.890750:0.292058:0.890750:0.292058:0.879689:0.285100:0.879689:0.000000
A’:@0.492350:0.905306:0.501012:0.905306:0.501012:0.894245:0.492350:0.894245:0.000000:0.000000
B’:@0.660802:0.903771:0.669537:0.903771:0.669537:0.892709:0.660802:0.892709:0.000000:0.000000
P’:@0.564840:0.861926:0.573611:0.861926:0.573611:0.850865:0.564840:0.850865:0.000000:0.000000
P:@0.326460:0.861925:0.332671:0.861925:0.332671:0.850864:0.326460:0.850864:0.000000
C’:@0.599561:0.818334:0.608737:0.818334:0.608737:0.807272:0.599561:0.807272:0.000000:0.000000
D’:@0.492364:0.819869:0.502741:0.819869:0.502741:0.808808:0.492364:0.808808:0.000000:0.000000
B:@0.396904:0.890741:0.403262:0.890741:0.403262:0.879680:0.396904:0.879680:0.000000
C:@0.355556:0.832126:0.362356:0.832126:0.362356:0.821064:0.355556:0.821064:0.000000
D:@0.284598:0.832126:0.292525:0.832126:0.292525:0.821064:0.284598:0.821064:0.000000
2:@0.263674:0.861925:0.269959:0.861925:0.269959:0.850874:0.263674:0.850874:0.000000
 cm:@0.269959:0.861925:0.287269:0.861925:0.287269:0.850864:0.269959:0.850864:0.000000:0.000000:0.000000
2,3:@0.378013:0.856179:0.393118:0.856179:0.393118:0.845127:0.378013:0.845127:0.000000:0.000000:0.000000
 cm:@0.395323:0.856179:0.412634:0.856179:0.412634:0.845118:0.395323:0.845118:0.000000:0.000000:0.000000
3:@0.322883:0.895210:0.329168:0.895210:0.329168:0.884158:0.322883:0.884158:0.000000
 cm:@0.329168:0.895210:0.346478:0.895210:0.346478:0.884149:0.329168:0.884149:0.000000:0.000000:0.000000
3,03:@0.462752:0.861925:0.484143:0.861925:0.484143:0.850873:0.462752:0.850873:0.000000:0.000000:0.000000:0.000000
 cm:@0.484143:0.861925:0.501453:0.861925:0.501453:0.850864:0.484143:0.850864:0.000000:0.000000:0.000000
3,45:@0.631204:0.854156:0.652594:0.854156:0.652594:0.843104:0.631204:0.843104:0.000000:0.000000:0.000000:0.000000
 cm:@0.653452:0.854156:0.670762:0.854156:0.670762:0.843095:0.653452:0.843095:0.000000:0.000000:0.000000
4,5:@0.564840:0.907025:0.579946:0.907025:0.579946:0.895973:0.564840:0.895973:0.000000:0.000000:0.000000
 cm:@0.579946:0.907025:0.597256:0.907025:0.597256:0.895964:0.579946:0.895964:0.000000:0.000000:0.000000
60º:@0.361328:0.877469:0.378247:0.877469:0.378247:0.866417:0.361328:0.866417:0.000000:0.000000:0.000000
La congruencia y semejanza de figuras es fundamental en geometría y matemáti­:@0.287495:0.150303:0.885859:0.150303:0.885859:0.133914:0.287495:0.133914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cas. Veamos un ejemplo.:@0.287495:0.166899:0.466719:0.166899:0.466719:0.150510:0.287495:0.150510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los alumnos de 8º año comparan las escuadras de sus juegos geométricos. El lado :@0.287495:0.190618:0.889784:0.190618:0.889784:0.174229:0.287495:0.174229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor de las escuadras de Ana y Luis, aunque son de colores diferentes, tienen la :@0.287495:0.207215:0.889873:0.207215:0.889873:0.190826:0.287495:0.190826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
misma longitud; Ana y Luis superponen sus escuadras y son idénticas. En cambio, :@0.287495:0.223811:0.889895:0.223811:0.889895:0.207422:0.287495:0.207422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la escuadra de Danilo es más grande, pero tiene la misma forma y se fijan en que :@0.287495:0.240407:0.889985:0.240407:0.889985:0.224018:0.287495:0.224018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus ángulos son iguales.:@0.287495:0.257004:0.463070:0.257004:0.463070:0.240615:0.287495:0.240615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figuras congruentes y semejantes. :@0.286308:0.063945:0.894942:0.063945:0.894942:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema de Tales:@0.286308:0.094120:0.590545:0.094120:0.590545:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Las escuadras de Ana y Luis son congruentes, mientras que la de Danilo es seme­:@0.287495:0.380488:0.885749:0.380488:0.885749:0.364099:0.287495:0.364099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
jante a las otras dos.:@0.287495:0.397085:0.433735:0.397085:0.433735:0.380696:0.287495:0.380696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos figuras son congruentes si tienen la misma forma, el mismo tamaño y al :@0.296992:0.423840:0.879619:0.423840:0.879619:0.407451:0.296992:0.407451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  superponerlas todos sus puntos coinciden. Es decir, tanto los ángulos corres­:@0.296992:0.440436:0.875522:0.440436:0.875522:0.424047:0.296992:0.424047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pondientes como los lados correspondientes son iguales. La congruencia se :@0.296992:0.457033:0.879543:0.457033:0.879543:0.440644:0.296992:0.440644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  representa con el símbolo  .:@0.296992:0.473629:0.504967:0.473629:0.504967:0.457240:0.296992:0.457240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.491643:0.474224:0.501760:0.474224:0.501760:0.456203:0.491643:0.456203:0.000000
Al superponer los triángulos :@0.287502:0.504028:0.498331:0.504028:0.498331:0.487639:0.287502:0.487639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BAC MNP:@0.498368:0.504028:0.577129:0.504028:0.577129:0.487667:0.498368:0.487667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.526951:0.504028:0.543167:0.504028:0.543167:0.487639:0.526951:0.487639:0.000000:0.000000:0.000000
 coinciden en todos los puntos, por eso se :@0.577129:0.504028:0.889828:0.504028:0.889828:0.487639:0.577129:0.487639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
concluye que son congruentes. Entonces::@0.287502:0.520624:0.592808:0.520624:0.592808:0.504236:0.287502:0.504236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.475521:0.544004:0.448948:0.544004:0.448948:0.527255:0.475521:0.527255:0.000000
:@0.516246:0.544004:0.489673:0.544004:0.489673:0.527255:0.516246:0.527255:0.000000
:@0.552162:0.544004:0.525847:0.544004:0.525847:0.527255:0.552162:0.527255:0.000000
:@0.592629:0.544004:0.566314:0.544004:0.566314:0.527255:0.592629:0.527255:0.000000
:@0.626241:0.544004:0.597936:0.544004:0.597936:0.527255:0.626241:0.527255:0.000000
:@0.668698:0.544004:0.640393:0.544004:0.640393:0.527255:0.668698:0.527255:0.000000
A:@0.489600:0.543133:0.499495:0.543133:0.499495:0.526771:0.489600:0.526771:0.000000
N:@0.530325:0.543133:0.541584:0.543133:0.541584:0.526771:0.530325:0.526771:0.000000
B:@0.566240:0.543133:0.575086:0.543133:0.575086:0.526771:0.566240:0.526771:0.000000
P:@0.606707:0.543133:0.615479:0.543133:0.615479:0.526771:0.606707:0.526771:0.000000
C:@0.640319:0.543133:0.650233:0.543133:0.650233:0.526771:0.640319:0.526771:0.000000
M:@0.682777:0.543133:0.696671:0.543133:0.696671:0.526771:0.682777:0.526771:0.000000
AB NP AC:@0.476359:0.566550:0.567041:0.566550:0.567041:0.550189:0.476359:0.550189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MN BC:@0.585819:0.566550:0.643276:0.566550:0.643276:0.550189:0.585819:0.550189:0.000000:0.000000:0.000000:0.000000:0.000000
MP:@0.662054:0.566550:0.684646:0.566550:0.684646:0.550189:0.662054:0.550189:0.000000:0.000000
≅:@0.502640:0.542718:0.436374:0.542718:0.436374:0.525776:0.502640:0.525776:0.000000
≅:@0.579022:0.542718:0.512757:0.542718:0.512757:0.525776:0.579022:0.525776:0.000000
≅:@0.655092:0.542718:0.665208:0.542718:0.665208:0.525776:0.655092:0.525776:0.000000
≅:@0.498922:0.566135:0.436066:0.566135:0.436066:0.549193:0.498922:0.549193:0.000000
≅:@0.571896:0.566135:0.509039:0.566135:0.509039:0.549193:0.571896:0.549193:0.000000
≅:@0.648131:0.566135:0.658248:0.566135:0.658248:0.549193:0.648131:0.549193:0.000000
;:@0.542427:0.543133:0.545633:0.543133:0.545633:0.526744:0.542427:0.526744:0.000000
;:@0.616506:0.543133:0.619712:0.543133:0.619712:0.526744:0.616506:0.526744:0.000000
;:@0.533526:0.566550:0.536733:0.566550:0.536733:0.550161:0.533526:0.550161:0.000000
;  :@0.611733:0.566550:0.623837:0.566550:0.623837:0.550161:0.611733:0.550161:0.000000:0.000000:0.000000
  :@0.537558:0.566550:0.545630:0.566550:0.545630:0.550161:0.537558:0.550161:0.000000:0.000000
Dos figuras son semejantes si sus ángulos correspondientes tienen la misma :@0.296992:0.594376:0.879507:0.594376:0.879507:0.577988:0.296992:0.577988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida (congruentes) y sus lados correspondientes son :@0.296992:0.610973:0.730187:0.610973:0.730187:0.594584:0.296992:0.594584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales:@0.733523:0.610973:0.849083:0.610973:0.849083:0.594349:0.733523:0.594349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
; es :@0.849083:0.610973:0.879507:0.610973:0.879507:0.594584:0.849083:0.594584:0.000000:0.000000:0.000000:0.000000:0.000000
  decir, las figuras tiene la misma forma pero distinto tamaño. La semejanza se :@0.296992:0.627569:0.879553:0.627569:0.879553:0.611180:0.296992:0.611180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  representa con el símbolo  .:@0.296992:0.644166:0.504967:0.644166:0.504967:0.627777:0.296992:0.627777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∼:@0.491643:0.644760:0.501760:0.644760:0.501760:0.626739:0.491643:0.626739:0.000000
Los triángulos :@0.287502:0.673859:0.393662:0.673859:0.393662:0.657470:0.287502:0.657470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BAC GFH:@0.393385:0.673859:0.467669:0.673859:0.467669:0.657498:0.393385:0.657498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.421969:0.673859:0.437872:0.673859:0.437872:0.657470:0.421969:0.657470:0.000000:0.000000:0.000000
 son semejantes, pues tienen la misma forma pero son de :@0.467669:0.673859:0.889806:0.673859:0.889806:0.657470:0.467669:0.657470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distinto tamaño; entonces::@0.287502:0.690456:0.482852:0.690456:0.482852:0.674067:0.287502:0.674067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.477196:0.713278:0.450624:0.713278:0.450624:0.696530:0.477196:0.696530:0.000000
:@0.517921:0.713278:0.491349:0.713278:0.491349:0.696530:0.517921:0.696530:0.000000
:@0.551533:0.713278:0.525219:0.713278:0.525219:0.696530:0.551533:0.696530:0.000000
:@0.592000:0.713278:0.565686:0.713278:0.565686:0.696530:0.592000:0.696530:0.000000
:@0.627916:0.713278:0.599611:0.713278:0.599611:0.696530:0.627916:0.696530:0.000000
:@0.670373:0.713278:0.642068:0.713278:0.642068:0.696530:0.670373:0.696530:0.000000
A:@0.491275:0.712407:0.501171:0.712407:0.501171:0.696046:0.491275:0.696046:0.000000
F:@0.532000:0.712407:0.540053:0.712407:0.540053:0.696046:0.532000:0.696046:0.000000
B:@0.565612:0.712407:0.574457:0.712407:0.574457:0.696046:0.565612:0.696046:0.000000
H:@0.606079:0.712407:0.617191:0.712407:0.617191:0.696046:0.606079:0.696046:0.000000
C:@0.641995:0.712407:0.651909:0.712407:0.651909:0.696046:0.641995:0.696046:0.000000
G:@0.684452:0.712407:0.695361:0.712407:0.695361:0.696046:0.684452:0.696046:0.000000
AB:@0.479500:0.735824:0.498130:0.735824:0.498130:0.719463:0.479500:0.719463:0.000000:0.000000
FH:@0.478506:0.756059:0.497689:0.756059:0.497689:0.739698:0.478506:0.739698:0.000000:0.000000
AC:@0.519131:0.735824:0.538830:0.735824:0.538830:0.719463:0.519131:0.719463:0.000000:0.000000
FG:@0.519444:0.756059:0.538425:0.756059:0.538425:0.739698:0.519444:0.739698:0.000000:0.000000
BC:@0.560958:0.735824:0.579773:0.735824:0.579773:0.719463:0.560958:0.719463:0.000000:0.000000
GH:@0.559650:0.756059:0.581708:0.756059:0.581708:0.739698:0.559650:0.739698:0.000000:0.000000
≅:@0.504312:0.711996:0.514428:0.711996:0.514428:0.695054:0.504312:0.695054:0.000000
≅:@0.578391:0.711996:0.588508:0.711996:0.588508:0.695054:0.578391:0.695054:0.000000
≅:@0.656763:0.711996:0.666880:0.711996:0.666880:0.695054:0.656763:0.695054:0.000000
=:@0.503529:0.744171:0.513646:0.744171:0.513646:0.727229:0.503529:0.727229:0.000000
=:@0.545157:0.744171:0.555274:0.744171:0.555274:0.727229:0.545157:0.727229:0.000000
;:@0.541798:0.712407:0.545005:0.712407:0.545005:0.696018:0.541798:0.696018:0.000000
;:@0.618181:0.712407:0.621387:0.712407:0.621387:0.696018:0.618181:0.696018:0.000000
G:@0.635610:0.268073:0.645652:0.268073:0.645652:0.254245:0.635610:0.254245:0.000000
F:@0.805424:0.268650:0.813099:0.268650:0.813099:0.254822:0.805424:0.254822:0.000000
H:@0.804851:0.356992:0.814983:0.356992:0.814983:0.343164:0.804851:0.343164:0.000000
M:@0.452133:0.276733:0.464602:0.276733:0.464602:0.262905:0.452133:0.262905:0.000000
N:@0.588295:0.276156:0.598487:0.276156:0.598487:0.262328:0.588295:0.262328:0.000000
P:@0.598291:0.346019:0.606719:0.346019:0.606719:0.332191:0.598291:0.332191:0.000000
B:@0.349434:0.275001:0.358119:0.275001:0.358119:0.261173:0.349434:0.261173:0.000000
A:@0.349434:0.348326:0.359023:0.348326:0.359023:0.334499:0.349434:0.334499:0.000000
C:@0.484827:0.347319:0.493692:0.347319:0.493692:0.333492:0.484827:0.333492:0.000000
razón.:@0.131614:0.608801:0.174098:0.608801:0.174098:0.593689:0.131614:0.593689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 También:@0.174098:0.608801:0.234993:0.608801:0.234993:0.593902:0.174098:0.593902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocida como :@0.131614:0.625674:0.239935:0.625674:0.239935:0.610775:0.131614:0.610775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación:@0.131614:0.640762:0.184518:0.640762:0.184518:0.625863:0.131614:0.625863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dos segmentos, es:@0.072612:0.657635:0.216648:0.657635:0.216648:0.642736:0.072612:0.642736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el resultado de dividir:@0.072612:0.674508:0.216164:0.674508:0.216164:0.659609:0.072612:0.659609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la longitud de esos :@0.072612:0.691381:0.202326:0.691381:0.202326:0.676482:0.072612:0.676482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos segmentos.:@0.072612:0.708254:0.177699:0.708254:0.177699:0.693355:0.072612:0.693355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporción. :@0.072612:0.725127:0.157631:0.725127:0.157631:0.710014:0.072612:0.710014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Dos:@0.157631:0.725127:0.187400:0.725127:0.187400:0.710228:0.157631:0.710228:0.000000:0.000000:0.000000:0.000000
segmentos son:@0.072612:0.742000:0.174834:0.742000:0.174834:0.727101:0.072612:0.727101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales cuando:@0.072612:0.758873:0.227488:0.758873:0.227488:0.743974:0.072612:0.743974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su razón es la misma.:@0.072612:0.775746:0.212729:0.775746:0.212729:0.760847:0.072612:0.760847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.287495:0.777566:0.350979:0.777566:0.350979:0.760929:0.287495:0.760929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina la razón de proporcionalidad de las figuras semejantes.:@0.287495:0.801285:0.770425:0.801285:0.770425:0.784897:0.287495:0.784897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
′′:@0.729271:0.823390:0.749439:0.823390:0.749439:0.807239:0.729271:0.807239:0.000000:0.000000
==:@0.753726:0.832519:0.789916:0.832519:0.789916:0.816368:0.753726:0.816368:0.000000:0.000000
′′:@0.729272:0.861711:0.746682:0.861711:0.746682:0.845559:0.729272:0.845559:0.000000:0.000000
=:@0.750986:0.870848:0.760631:0.870848:0.760631:0.854697:0.750986:0.854697:0.000000
=:@0.791269:0.870848:0.800914:0.870848:0.800914:0.854697:0.791269:0.854697:0.000000
′′:@0.729869:0.900027:0.745645:0.900027:0.745645:0.883875:0.729869:0.883875:0.000000:0.000000
=:@0.749934:0.908768:0.759813:0.908768:0.759813:0.892617:0.749934:0.892617:0.000000
AD:@0.720088:0.824572:0.744419:0.824572:0.744419:0.808974:0.720088:0.808974:0.000000:0.000000
AD:@0.724080:0.843862:0.744406:0.843862:0.744406:0.828264:0.724080:0.828264:0.000000:0.000000
AB:@0.720092:0.862875:0.741858:0.862875:0.741858:0.847277:0.720092:0.847277:0.000000:0.000000
AB:@0.724080:0.882165:0.741841:0.882165:0.741841:0.866567:0.724080:0.866567:0.000000:0.000000
CB:@0.719039:0.901210:0.740805:0.901210:0.740805:0.885612:0.719039:0.885612:0.000000:0.000000
CB:@0.723027:0.920500:0.740788:0.920500:0.740788:0.904902:0.723027:0.904902:0.000000:0.000000
3:@0.767544:0.824566:0.776117:0.824566:0.776117:0.808941:0.767544:0.808941:0.000000
2:@0.767550:0.843264:0.776124:0.843264:0.776124:0.827639:0.767550:0.827639:0.000000
15 ,:@0.791601:0.832914:0.800454:0.832919:0.800454:0.817295:0.791601:0.817289:0.000000:0.000000:0.000000:0.000000
45 ,:@0.765354:0.862883:0.777194:0.862889:0.777194:0.847264:0.765354:0.847259:0.000000:0.000000:0.000000:0.000000
3:@0.771644:0.881580:0.780217:0.881580:0.780217:0.865955:0.771644:0.865955:0.000000
15 ,:@0.802581:0.871243:0.811434:0.871248:0.811434:0.855624:0.802581:0.855618:0.000000:0.000000:0.000000:0.000000
34 , 5:@0.762298:0.901212:0.793033:0.901389:0.793033:0.885765:0.762298:0.885588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
23:@0.766952:0.919902:0.788403:0.919902:0.788403:0.904277:0.766952:0.904277:0.000000:0.000000
15:@0.808676:0.909564:0.827684:0.909564:0.827684:0.893939:0.808676:0.893939:0.000000:0.000000
,:@0.775186:0.919902:0.778243:0.919902:0.778243:0.904277:0.775186:0.904277:0.000000
,:@0.814466:0.909564:0.817522:0.909564:0.817522:0.893939:0.814466:0.893939:0.000000
=:@0.796780:0.909168:0.806659:0.909168:0.806659:0.893017:0.796780:0.893017:0.000000
Geometría y diseño:@0.103921:0.187358:0.244759:0.187358:0.244759:0.171994:0.103921:0.171994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El cociente de los lados :@0.089732:0.296529:0.248426:0.296529:0.248426:0.281630:0.089732:0.281630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales de dos :@0.095679:0.311617:0.248427:0.311617:0.248427:0.296718:0.095679:0.296718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
figuras semejantes :@0.120556:0.326705:0.248426:0.326705:0.248426:0.311806:0.120556:0.311806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
también se llama :@0.087973:0.341792:0.205742:0.341792:0.205742:0.326893:0.087973:0.326893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
razón:@0.205742:0.341792:0.244760:0.341792:0.244760:0.326679:0.205742:0.326679:0.000000:0.000000:0.000000:0.000000:0.000000
de semejanza o escala; y :@0.082294:0.356880:0.248427:0.356880:0.248427:0.341981:0.082294:0.341981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se usa. en diversas :@0.123371:0.371967:0.248426:0.371967:0.248426:0.357068:0.123371:0.357068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actividades. ¿Has :@0.132350:0.387055:0.248426:0.387055:0.248426:0.372156:0.132350:0.372156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escuchado de las figuras a :@0.070316:0.402143:0.248427:0.402143:0.248427:0.387244:0.070316:0.387244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escala? Un auto a escala, :@0.082009:0.417230:0.248426:0.417230:0.248426:0.402331:0.082009:0.402331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por ejemplo, es una :@0.112917:0.432318:0.248426:0.432318:0.248426:0.417419:0.112917:0.417419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
versión pequeña de un :@0.090419:0.447406:0.248427:0.447406:0.248427:0.432507:0.090419:0.432507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
auto auténtico. Si la escala :@0.070199:0.462493:0.248426:0.462493:0.248426:0.447594:0.070199:0.447594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es 1:32, quiere decir que :@0.083617:0.477581:0.248426:0.477581:0.248426:0.462682:0.083617:0.462682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el auto pequeño es una :@0.086700:0.492668:0.248426:0.492668:0.248426:0.477769:0.086700:0.477769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
versión 32 veces reducida :@0.073231:0.507756:0.248426:0.507756:0.248426:0.492857:0.073231:0.492857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de su versión real. :@0.126437:0.522844:0.248426:0.522844:0.248426:0.507945:0.126437:0.507945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.091784:0.158482:0.245680:0.158482:0.245680:0.141581:0.091784:0.141581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.067704:0.238104:0.067704:0.195278:0.055793:0.195278:0.055793:0.238104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.5. :@0.287495:0.954959:0.329547:0.954959:0.329547:0.944205:0.287495:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definir e identificar figuras geométricas semejantes, de acuerdo con las medidas de los ángulos y con la relación entre las :@0.329758:0.954959:0.901059:0.954959:0.901059:0.944530:0.329758:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.345941:0.954959:0.348509:0.954959:0.348509:0.944530:0.345941:0.944530:0.000000
 :@0.401960:0.954959:0.404528:0.954959:0.404528:0.944530:0.401960:0.944530:0.000000
 :@0.424440:0.954959:0.427008:0.954959:0.427008:0.944530:0.424440:0.944530:0.000000
medidas de los lados, determinando el factor de escala entre las figuras (teorema de Tales).:@0.287495:0.965521:0.708699:0.965521:0.708699:0.955091:0.287495:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.590542:0.965521:0.593110:0.965521:0.593110:0.955091:0.590542:0.955091:0.000000