103:@0.917174:0.510692:0.945535:0.510692:0.945535:0.494068:0.917174:0.494068:0.000000:0.000000:0.000000
7. :@0.514437:0.101371:0.533178:0.101371:0.533178:0.084235:0.514437:0.084235:0.000000:0.000000:0.000000
La figura muestra un triángulo isósceles y las :@0.547680:0.101371:0.888721:0.101371:0.888721:0.084982:0.547680:0.084982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alturas a los lados iguales.:@0.547680:0.117968:0.734920:0.117968:0.734920:0.101579:0.547680:0.101579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.514437:0.282839:0.518159:0.282839:0.518159:0.265703:0.514437:0.265703:0.000000
A:@0.648972:0.270202:0.657968:0.270202:0.657968:0.255328:0.648972:0.255328:0.000000
B:@0.773576:0.270202:0.781617:0.270202:0.781617:0.255328:0.773576:0.255328:0.000000
E:@0.664552:0.226447:0.671939:0.226447:0.671939:0.211574:0.664552:0.211574:0.000000
F:@0.712447:0.250776:0.719768:0.250776:0.719768:0.235902:0.712447:0.235902:0.000000
D:@0.762319:0.224486:0.772806:0.224486:0.772806:0.209612:0.762319:0.209612:0.000000
C:@0.712782:0.145729:0.721795:0.145729:0.721795:0.130855:0.712782:0.130855:0.000000
a) :@0.547679:0.306568:0.566401:0.306568:0.566401:0.289667:0.547679:0.289667:0.000000:0.000000:0.000000
Justifica:@0.580922:0.306568:0.642378:0.306568:0.642378:0.289944:0.580922:0.289944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 por qué los triángulos :@0.642378:0.306568:0.836071:0.306568:0.836071:0.290179:0.642378:0.290179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.842336:0.307245:0.853614:0.307245:0.853614:0.291672:0.842336:0.291672:0.000000
ACD:@0.853614:0.306568:0.884646:0.306568:0.884646:0.290206:0.853614:0.290206:0.000000:0.000000:0.000000
   :@0.884646:0.306568:0.888682:0.306568:0.888682:0.290179:0.884646:0.290179:0.000000:0.000000:0.000000
y :@0.580922:0.323164:0.593066:0.323164:0.593066:0.306775:0.580922:0.306775:0.000000:0.000000
Δ:@0.593066:0.323842:0.604344:0.323842:0.604344:0.308269:0.593066:0.308269:0.000000
BCE:@0.604344:0.323164:0.631229:0.323164:0.631229:0.306803:0.604344:0.306803:0.000000:0.000000:0.000000
 son congruentes.:@0.631229:0.323164:0.762064:0.323164:0.762064:0.306775:0.631229:0.306775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. :@0.120581:0.101367:0.139322:0.101367:0.139322:0.084232:0.120581:0.084232:0.000000:0.000000:0.000000
En  la  figura,  el  triángulo :@0.153825:0.101367:0.342833:0.101367:0.342833:0.084978:0.153825:0.084978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.345988:0.102045:0.357266:0.102045:0.357266:0.086472:0.345988:0.086472:0.000000
ABC:@0.357266:0.101367:0.385921:0.101367:0.385921:0.085006:0.357266:0.085006:0.000000:0.000000:0.000000
  es  equilátero  :@0.385921:0.101367:0.494552:0.101367:0.494552:0.084978:0.385921:0.084978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.153825:0.123164:0.158708:0.123164:0.158708:0.106775:0.153825:0.106775:0.000000
—:@0.158892:0.114506:0.177320:0.114506:0.177320:0.098117:0.158892:0.098117:0.000000
AB:@0.158708:0.123302:0.177449:0.123302:0.177449:0.106941:0.158708:0.106941:0.000000:0.000000
 = :@0.179421:0.123150:0.197775:0.123150:0.197775:0.106761:0.179421:0.106761:0.000000:0.000000:0.000000
—:@0.197277:0.114492:0.215705:0.114492:0.215705:0.098103:0.197277:0.098103:0.000000
BC:@0.197093:0.123288:0.215852:0.123288:0.215852:0.106927:0.197093:0.106927:0.000000:0.000000
 = :@0.217750:0.123136:0.236104:0.123136:0.236104:0.106747:0.217750:0.106747:0.000000:0.000000:0.000000
—:@0.235607:0.114479:0.254034:0.114479:0.254034:0.098090:0.235607:0.098090:0.000000
CD:@0.235422:0.123275:0.256872:0.123275:0.256872:0.106913:0.235422:0.106913:0.000000:0.000000
), los puntos :@0.259212:0.123122:0.350687:0.123122:0.350687:0.106734:0.259212:0.106734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D, E F:@0.349987:0.123122:0.398028:0.123122:0.398028:0.106761:0.349987:0.106761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y   son los pun-:@0.375196:0.123122:0.490498:0.123122:0.490498:0.106734:0.375196:0.106734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tos medios de los lados del :@0.153843:0.144919:0.365134:0.144919:0.365134:0.128530:0.153843:0.128530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.366903:0.145597:0.378181:0.145597:0.378181:0.130024:0.366903:0.130024:0.000000
ABC:@0.378181:0.144919:0.406836:0.144919:0.406836:0.128558:0.378181:0.128558:0.000000:0.000000:0.000000
 y :@0.406836:0.144919:0.424785:0.144919:0.424785:0.128530:0.406836:0.128530:0.000000:0.000000:0.000000
—:@0.426720:0.136261:0.445147:0.136261:0.445147:0.119872:0.426720:0.119872:0.000000
AB:@0.426535:0.145057:0.445276:0.145057:0.445276:0.128696:0.426535:0.128696:0.000000:0.000000
 || :@0.447248:0.144905:0.464902:0.144905:0.464902:0.128516:0.447248:0.128516:0.000000:0.000000:0.000000:0.000000
—:@0.466855:0.136247:0.485283:0.136247:0.485283:0.119859:0.466855:0.119859:0.000000
EF:@0.466671:0.145043:0.482850:0.145043:0.482850:0.128682:0.466671:0.128682:0.000000:0.000000
, :@0.487328:0.144891:0.494570:0.144891:0.494570:0.128502:0.487328:0.128502:0.000000:0.000000
 :@0.490534:0.144891:0.494570:0.144891:0.494570:0.128502:0.490534:0.128502:0.000000
— —:@0.154027:0.158030:0.209052:0.158016:0.209052:0.141627:0.154027:0.141641:0.000000:0.000000:0.000000
BC DF:@0.153843:0.166826:0.210029:0.166812:0.210029:0.150451:0.153843:0.150465:0.000000:0.000000:0.000000:0.000000:0.000000
 || :@0.174556:0.166674:0.190440:0.166674:0.190440:0.150285:0.174556:0.150285:0.000000:0.000000:0.000000:0.000000
.:@0.211098:0.166660:0.214304:0.166660:0.214304:0.150271:0.211098:0.150271:0.000000
C:@0.316102:0.195284:0.325115:0.195284:0.325115:0.180410:0.316102:0.180410:0.000000
F:@0.258224:0.255119:0.265545:0.255119:0.265545:0.240245:0.258224:0.240245:0.000000
E:@0.374218:0.255119:0.381605:0.255119:0.381605:0.240245:0.374218:0.240245:0.000000
B:@0.403164:0.321555:0.411205:0.321555:0.411205:0.306681:0.403164:0.306681:0.000000
D:@0.315365:0.321555:0.325852:0.321555:0.325852:0.306681:0.315365:0.306681:0.000000
A:@0.227230:0.321555:0.236226:0.321555:0.236226:0.306681:0.227230:0.306681:0.000000
a) :@0.153820:0.357068:0.172542:0.357068:0.172542:0.340168:0.153820:0.340168:0.000000:0.000000:0.000000
Prueba:@0.187063:0.357068:0.241351:0.357068:0.241351:0.340444:0.187063:0.340444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que :@0.241351:0.357068:0.278335:0.357068:0.278335:0.340680:0.241351:0.340680:0.000000:0.000000:0.000000:0.000000:0.000000
—:@0.278722:0.348411:0.297150:0.348411:0.297150:0.332022:0.278722:0.332022:0.000000
AD:@0.278538:0.357207:0.299969:0.357207:0.299969:0.340845:0.278538:0.340845:0.000000:0.000000
 = :@0.303231:0.357055:0.322488:0.357055:0.322488:0.340666:0.303231:0.340666:0.000000:0.000000:0.000000
—:@0.322875:0.348397:0.341302:0.348397:0.341302:0.332008:0.322875:0.332008:0.000000
EF:@0.322691:0.357193:0.338870:0.357193:0.338870:0.340832:0.322691:0.340832:0.000000:0.000000
 utilizando el primer :@0.343348:0.357041:0.494584:0.357041:0.494584:0.340652:0.343348:0.340652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teorema de Thales.:@0.187082:0.373637:0.324753:0.373637:0.324753:0.357248:0.187082:0.357248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153106:0.627582:0.173137:0.627582:0.173137:0.610681:0.153106:0.610681:0.000000:0.000000:0.000000
Prueba:@0.186349:0.627582:0.240637:0.627582:0.240637:0.610958:0.186349:0.610958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que :@0.240637:0.627582:0.277419:0.627582:0.277419:0.611193:0.240637:0.611193:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.277419:0.628259:0.288697:0.628259:0.288697:0.612687:0.277419:0.612687:0.000000
ADF    CEF:@0.288697:0.627582:0.372303:0.627582:0.372303:0.611221:0.288697:0.611221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅ Δ:@0.321498:0.628259:0.346209:0.628259:0.346209:0.612687:0.321498:0.612687:0.000000:0.000000:0.000000
.:@0.372303:0.627582:0.375509:0.627582:0.375509:0.611193:0.372303:0.611193:0.000000
b) :@0.547236:0.600792:0.567267:0.600792:0.567267:0.583892:0.547236:0.583892:0.000000:0.000000:0.000000
¿Serán congruentes los triángulos :@0.580480:0.600792:0.840435:0.600792:0.840435:0.584404:0.580480:0.584404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.843092:0.601470:0.854370:0.601470:0.854370:0.585897:0.843092:0.585897:0.000000
ABD :@0.854370:0.600792:0.887963:0.600792:0.887963:0.584431:0.854370:0.584431:0.000000:0.000000:0.000000:0.000000
 :@0.884646:0.600792:0.887963:0.600792:0.887963:0.584431:0.884646:0.584431:0.000000
y  ABE:@0.580480:0.617389:0.629424:0.617389:0.629424:0.601028:0.580480:0.601028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.591278:0.618067:0.602556:0.618067:0.602556:0.602494:0.591278:0.602494:0.000000
? :@0.629424:0.617389:0.640480:0.617389:0.640480:0.601000:0.629424:0.601000:0.000000:0.000000
Justifica:@0.640480:0.617389:0.701936:0.617389:0.701936:0.600765:0.640480:0.600765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tu respuesta.:@0.701936:0.617389:0.799566:0.617389:0.799566:0.601000:0.701936:0.601000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8. :@0.513993:0.783090:0.532734:0.783090:0.532734:0.765954:0.513993:0.765954:0.000000:0.000000:0.000000
¿Qué ángulos y lados utilizarías para probar :@0.547236:0.783090:0.888719:0.783090:0.888719:0.766701:0.547236:0.766701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por ALA que :@0.547236:0.799686:0.643281:0.799686:0.643281:0.783297:0.547236:0.783297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.643281:0.800364:0.654559:0.800364:0.654559:0.784791:0.643281:0.784791:0.000000
AEF    BDF:@0.654559:0.799686:0.737096:0.799686:0.737096:0.783325:0.654559:0.783325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅ Δ:@0.683951:0.800364:0.708662:0.800364:0.708662:0.784791:0.683951:0.784791:0.000000:0.000000:0.000000
? ¿Por qué?:@0.737096:0.799686:0.818952:0.799686:0.818952:0.783297:0.737096:0.783297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000