248:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Geometría:@0.073089:0.043661:0.172086:0.043661:0.172086:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Compruebo mis aprendizajes :@0.161804:0.097463:0.577714:0.097463:0.577714:0.069346:0.161804:0.069346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Define en el espacio correspondiente::@0.073089:0.136836:0.377647:0.136836:0.377647:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Puntos coplanares:@0.104633:0.165986:0.268077:0.165986:0.268077:0.149552:0.104633:0.149552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Rectas coplanares:@0.104633:0.224287:0.264929:0.224287:0.264929:0.207853:0.104633:0.207853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  Rectas paralelas:@0.104633:0.282586:0.249603:0.282586:0.249603:0.266152:0.104633:0.266152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  Rectas perpendiculares:@0.104633:0.340887:0.303616:0.340887:0.303616:0.324453:0.104633:0.324453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e.  Rectas concurrentes:@0.104633:0.399186:0.281904:0.399186:0.281904:0.382752:0.104633:0.382752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Completa la siguiente tabla::@0.073089:0.457487:0.305242:0.457487:0.305242:0.441053:0.073089:0.441053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo:@0.114412:0.490860:0.170348:0.490860:0.170348:0.474190:0.114412:0.474190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Complemento:@0.224929:0.490860:0.334955:0.490860:0.334955:0.474190:0.224929:0.474190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suplemento:@0.370807:0.490860:0.464196:0.490860:0.464196:0.474190:0.370807:0.474190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15°:@0.130758:0.511343:0.153988:0.511343:0.153988:0.494909:0.130758:0.494909:0.000000:0.000000:0.000000
55°:@0.130758:0.531826:0.153988:0.531826:0.153988:0.515393:0.130758:0.515393:0.000000:0.000000:0.000000
87°:@0.130758:0.552310:0.153988:0.552310:0.153988:0.535876:0.130758:0.535876:0.000000:0.000000:0.000000
39°:@0.130758:0.572793:0.153988:0.572793:0.153988:0.556359:0.130758:0.556359:0.000000:0.000000:0.000000
22°:@0.130758:0.593276:0.153988:0.593276:0.153988:0.576843:0.130758:0.576843:0.000000:0.000000:0.000000
61°:@0.130758:0.613760:0.153988:0.613760:0.153988:0.597326:0.130758:0.597326:0.000000:0.000000:0.000000
z:@0.138654:0.634243:0.146073:0.634243:0.146073:0.617809:0.138654:0.617809:0.000000
3.  Halla el valor de   en cada caso.:@0.073089:0.663797:0.329987:0.663797:0.329987:0.647364:0.073089:0.647364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.221649:0.663797:0.229104:0.663797:0.229104:0.647391:0.221649:0.647391:0.000000
2x 24:@0.220941:0.759939:0.264990:0.759939:0.264990:0.744227:0.220941:0.744227:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.237821:0.760522:0.247025:0.760522:0.247025:0.742868:0.237821:0.742868:0.000000
4x 12:@0.305854:0.747444:0.356032:0.747444:0.356032:0.731731:0.305854:0.731731:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.322734:0.748026:0.338067:0.748026:0.338067:0.730372:0.322734:0.730372:0.000000
3x 17°:@0.249182:0.919535:0.298642:0.919535:0.298642:0.903823:0.249182:0.903823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.266061:0.920118:0.275265:0.920118:0.275265:0.902464:0.266061:0.902464:0.000000
2x 13°:@0.188553:0.861539:0.244143:0.861539:0.244143:0.845826:0.188553:0.845826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.205432:0.862121:0.220766:0.862121:0.220766:0.844467:0.205432:0.844467:0.000000
4.  Halla el ángulo que es 6º menos que el doble de su :@0.514231:0.136836:0.931077:0.136836:0.931077:0.120402:0.514231:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complemento.:@0.544359:0.153478:0.651713:0.153478:0.651713:0.137044:0.544359:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.  Halla el ángulo que es 28º menos que el triple de su :@0.514231:0.182628:0.931218:0.182628:0.931218:0.166194:0.514231:0.166194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suplemento.:@0.544359:0.199270:0.635351:0.199270:0.635351:0.182836:0.544359:0.182836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.  Escribe los siguientes tres elementos de las series::@0.514231:0.228419:0.902919:0.228419:0.902919:0.211985:0.514231:0.211985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  4, 7, 10, 13, 16 …..:@0.545774:0.257570:0.704219:0.257570:0.704219:0.241136:0.545774:0.241136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  1A2BC3DEF4GHIJ….:@0.545774:0.286720:0.724995:0.286720:0.724995:0.270286:0.545774:0.270286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.  Para cada proposición, identifica hipótesis y tesis. :@0.514231:0.315870:0.930600:0.315870:0.930600:0.299436:0.514231:0.299436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además, escribe la recíproca, la inversa y la :@0.544359:0.332511:0.930751:0.332511:0.930751:0.316078:0.544359:0.316078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contrarrecíproca::@0.544359:0.349153:0.667223:0.349153:0.667223:0.332719:0.544359:0.332719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Si dos ángulos son suplementarios, entonces su :@0.545774:0.378304:0.931201:0.378304:0.931201:0.361870:0.545774:0.361870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma es 180º.:@0.575902:0.394946:0.675301:0.394946:0.675301:0.378512:0.575902:0.378512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Si dos rectas son perpendiculares a una tercera, :@0.545774:0.511653:0.930727:0.511653:0.930727:0.495219:0.545774:0.495219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces son paralelas entre sí.:@0.575902:0.528295:0.801100:0.528295:0.801100:0.511861:0.575902:0.511861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.  Demuestra que, si dos de los ángulos de un triángulo :@0.514231:0.645002:0.931257:0.645002:0.931257:0.628568:0.514231:0.628568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son congruentes, entonces el triángulo es isósceles.:@0.544359:0.661644:0.918039:0.661644:0.918039:0.645210:0.544359:0.645210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.  Halla la medida de los ángulos interiores y exteriores :@0.514231:0.778351:0.931045:0.778351:0.931045:0.761917:0.514231:0.761917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del triángulo dado.:@0.544359:0.794993:0.681772:0.794993:0.681772:0.778559:0.544359:0.778559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x 11°:@0.790040:0.923364:0.829152:0.923364:0.829152:0.908181:0.790040:0.908181:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.797670:0.923927:0.806564:0.923927:0.806564:0.906868:0.797670:0.906868:0.000000
x 2°:@0.606612:0.923364:0.637044:0.923364:0.637044:0.908181:0.606612:0.908181:0.000000:0.000000:0.000000:0.000000
:@0.614242:0.923927:0.623135:0.923927:0.623135:0.906868:0.614242:0.906868:0.000000
2x 13°:@0.630730:0.866132:0.684444:0.866132:0.684444:0.850949:0.630730:0.850949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.647040:0.866694:0.661856:0.866694:0.661856:0.849636:0.647040:0.849636:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000