249:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento numérico y variacional:@0.587150:0.043661:0.926917:0.043661:0.926917:0.024916:0.587150:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10. Halla el valor del ángulo x si se sabe que el triángulo :@0.073089:0.136836:0.489464:0.136836:0.489464:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ABC es isósceles.:@0.103217:0.153478:0.223648:0.153478:0.223648:0.137044:0.103217:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 28°:@0.196958:0.260692:0.217048:0.260692:0.217048:0.247189:0.196958:0.247189:0.000000:0.000000:0.000000 A:@0.150005:0.278177:0.159259:0.278177:0.159259:0.264674:0.150005:0.264674:0.000000 B:@0.293211:0.278177:0.301200:0.278177:0.301200:0.264674:0.293211:0.264674:0.000000 C:@0.331762:0.178972:0.340778:0.178972:0.340778:0.165469:0.331762:0.165469:0.000000 x:@0.318592:0.252385:0.325378:0.252385:0.325378:0.238882:0.318592:0.238882:0.000000 11. Define::@0.073089:0.304867:0.154455:0.304867:0.154455:0.288433:0.073089:0.288433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Altura. :@0.104633:0.334018:0.209218:0.334018:0.209218:0.317584:0.104633:0.317584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Mediana. :@0.104633:0.363168:0.209266:0.363168:0.209266:0.346734:0.104633:0.346734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. Mediatriz. :@0.104633:0.392317:0.210458:0.392317:0.210458:0.375884:0.104633:0.375884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. Bisectriz. :@0.104633:0.421467:0.209093:0.421467:0.209093:0.405033:0.104633:0.405033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 12. Halla, usando regla y compás, las alturas, las medianas, :@0.073089:0.450618:0.489552:0.450618:0.489552:0.434184:0.073089:0.434184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las mediatrices y las bisectrices de un triángulo cuyos :@0.103217:0.467260:0.490100:0.467260:0.490100:0.450826:0.103217:0.450826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lados miden 6 cm, 4 cm, 5 cm.:@0.103217:0.483902:0.322447:0.483902:0.322447:0.467468:0.103217:0.467468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 13. Demuestra que en un triángulo equilátero la :@0.514231:0.136836:0.930966:0.136836:0.930966:0.120402:0.514231:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mediana, la altura y la mediatriz coinciden.:@0.544359:0.153478:0.851662:0.153478:0.851662:0.137044:0.544359:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 14. Si se sabe que :@0.514231:0.286843:0.652667:0.286843:0.652667:0.270410:0.514231:0.270410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ED:@0.655471:0.287002:0.675038:0.287002:0.675038:0.270596:0.655471:0.270596:0.000000:0.000000 ≅:@0.679710:0.287426:0.695044:0.287426:0.695044:0.269772:0.679710:0.269772:0.000000 DC:@0.697376:0.285834:0.717525:0.285834:0.717525:0.270393:0.697376:0.270393:0.000000:0.000000 y que :@0.721763:0.286843:0.771315:0.286843:0.771315:0.270410:0.721763:0.270410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 AD:@0.775062:0.285834:0.795106:0.285834:0.795106:0.270393:0.775062:0.270393:0.000000:0.000000 ≅:@0.798415:0.287426:0.813749:0.287426:0.813749:0.269772:0.798415:0.269772:0.000000 BD:@0.816229:0.287002:0.836642:0.287002:0.836642:0.270596:0.816229:0.270596:0.000000:0.000000 , demuestra :@0.840468:0.286843:0.931013:0.286843:0.931013:0.270410:0.840468:0.270410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que :@0.544352:0.303485:0.576841:0.303485:0.576841:0.287051:0.544352:0.287051:0.000000:0.000000:0.000000:0.000000 ∆:@0.576730:0.304068:0.589008:0.304068:0.589008:0.286414:0.576730:0.286414:0.000000 ADE:@0.588916:0.303485:0.618294:0.303485:0.618294:0.287079:0.588916:0.287079:0.000000:0.000000:0.000000 ≅∆:@0.618239:0.304068:0.645757:0.304068:0.645757:0.286414:0.618239:0.286414:0.000000:0.000000 BDC:@0.645665:0.303485:0.675780:0.303485:0.675780:0.287079:0.645665:0.287079:0.000000:0.000000:0.000000 A:@0.546495:0.443848:0.557264:0.443848:0.557264:0.428135:0.546495:0.428135:0.000000 B:@0.749804:0.443848:0.759099:0.443848:0.759099:0.428135:0.749804:0.428135:0.000000 C:@0.728230:0.330378:0.738722:0.330378:0.738722:0.314666:0.728230:0.314666:0.000000 E:@0.572707:0.330378:0.581285:0.330378:0.581285:0.314666:0.572707:0.314666:0.000000 D:@0.649521:0.368362:0.661430:0.368362:0.661430:0.352649:0.649521:0.352649:0.000000 15. Halla la longitud del lado que falta en el triángulo:@0.514231:0.472999:0.901196:0.472999:0.901196:0.456565:0.514231:0.456565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.544922:0.552896:0.550442:0.552896:0.550442:0.541914:0.544922:0.541914:0.000000 35 cm:@0.646161:0.538403:0.677811:0.538403:0.677811:0.527420:0.646161:0.527420:0.000000:0.000000:0.000000:0.000000:0.000000 28 cm:@0.602533:0.602533:0.634183:0.602533:0.634183:0.591551:0.602533:0.591551:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.846790:0.559950:0.852309:0.559950:0.852309:0.548968:0.846790:0.548968:0.000000 10 cm:@0.813774:0.492683:0.845424:0.492683:0.845424:0.481701:0.813774:0.481701:0.000000:0.000000:0.000000:0.000000:0.000000 24 cm:@0.735832:0.552920:0.767482:0.552920:0.767482:0.541938:0.735832:0.541938:0.000000:0.000000:0.000000:0.000000:0.000000 16. Pinta según la clave.:@0.073089:0.676475:0.251317:0.676475:0.251317:0.660042:0.073089:0.660042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Puntos rectas y planos.:@0.162877:0.704294:0.327623:0.704294:0.327623:0.687860:0.162877:0.687860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulos.:@0.162877:0.725996:0.220568:0.725996:0.220568:0.711056:0.162877:0.711056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Razonamiento en geometría.:@0.162877:0.748488:0.354386:0.748488:0.354386:0.733548:0.162877:0.733548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulos formados por dos rectas paralelas cortadas por una secante.:@0.162877:0.771068:0.616038:0.771068:0.616038:0.756128:0.162877:0.756128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Triángulos.:@0.162877:0.793648:0.233825:0.793648:0.233825:0.778708:0.162877:0.778708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Congruencia de triángulos.:@0.162877:0.816925:0.358997:0.816925:0.358997:0.800491:0.162877:0.800491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Teorema de Pitágoras.:@0.162877:0.839447:0.322239:0.839447:0.322239:0.823013:0.162877:0.823013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Contenidos:@0.142833:0.799020:0.142833:0.735541:0.121020:0.735541:0.121020:0.799020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Metacognición:@0.101550:0.873197:0.219369:0.873197:0.219369:0.856250:0.101550:0.856250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Indagué con mi docente cuando tuve dudas?:@0.101550:0.889839:0.439558:0.889839:0.439558:0.873405:0.101550:0.873405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Encontré aplicaciones de los conocimientos adquiridos?:@0.101550:0.906481:0.515451:0.906481:0.515451:0.890047:0.101550:0.890047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Colaboré en los trabajos grupales?:@0.101550:0.923123:0.356947:0.923123:0.356947:0.906689:0.101550:0.906689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Clave:@0.839975:0.696128:0.879427:0.696128:0.879427:0.679694:0.839975:0.679694:0.000000:0.000000:0.000000:0.000000:0.000000 Puedo ayudar :@0.810474:0.723393:0.913024:0.723393:0.913024:0.706959:0.810474:0.706959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a otros.:@0.834251:0.736000:0.885188:0.736000:0.885188:0.719566:0.834251:0.719566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Resuelvo por :@0.812586:0.765623:0.910921:0.765623:0.910921:0.749189:0.812586:0.749189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mí mismo.:@0.821789:0.778229:0.897675:0.778229:0.897675:0.761795:0.821789:0.761795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Estoy en :@0.829171:0.850066:0.894319:0.850066:0.894319:0.833632:0.829171:0.833632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 proceso.:@0.829079:0.862672:0.890397:0.862672:0.890397:0.846239:0.829079:0.846239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¡Necesito :@0.826189:0.807837:0.897325:0.807837:0.897325:0.791404:0.826189:0.791404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ayuda!:@0.835760:0.820444:0.883686:0.820444:0.883686:0.804010:0.835760:0.804010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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