190:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
190:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Evaluación formativa:@0.303782:0.074925:0.552575:0.074925:0.552575:0.050342:0.303782:0.050342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.136183:0.077858:0.213378:0.077858:0.213378:0.047130:0.136183:0.047130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.5.1.:@0.139073:0.103262:0.184560:0.103262:0.184560:0.092507:0.139073:0.092507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.096359:0.126056:0.115100:0.126056:0.115100:0.108920:0.096359:0.108920:0.000000:0.000000:0.000000
Escribe :@0.124848:0.126056:0.185733:0.126056:0.185733:0.109155:0.124848:0.109155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en tu cuaderno V (verdadero) o F (falso) :@0.187134:0.126056:0.489741:0.126056:0.489741:0.110386:0.187134:0.110386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
junto a cada proposición.:@0.124848:0.142652:0.310155:0.142652:0.310155:0.126982:0.124848:0.126982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.162568:0.144087:0.162568:0.144087:0.145432:0.124848:0.145432:0.000000:0.000000:0.000000
Para que dos triángulos sean congruentes, :@0.153337:0.162568:0.489769:0.162568:0.489769:0.146898:0.153337:0.146898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
basta con que sus ángulos correspondientes :@0.153337:0.178915:0.489806:0.178915:0.489806:0.163245:0.153337:0.163245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sean congruentes entre sí.:@0.153337:0.195263:0.345315:0.195263:0.345315:0.179593:0.153337:0.179593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.124848:0.215178:0.145229:0.215178:0.145229:0.198043:0.124848:0.198043:0.000000:0.000000:0.000000
Para que dos triángulos rectángulos sean con-:@0.153337:0.215178:0.485790:0.215178:0.485790:0.199509:0.153337:0.199509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gruentes, basta con que un lado y un ángulo :@0.153337:0.231526:0.489771:0.231526:0.489771:0.215856:0.153337:0.215856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agudo del primer triángulo tengan la misma :@0.153337:0.247873:0.489826:0.247873:0.489826:0.232203:0.153337:0.232203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida que un lado y un ángulo agudo del :@0.153337:0.264221:0.489732:0.264221:0.489732:0.248551:0.153337:0.248551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otro.:@0.153337:0.280568:0.185272:0.280568:0.185272:0.264898:0.153337:0.264898:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.124848:0.300484:0.142668:0.300484:0.142668:0.283348:0.124848:0.283348:0.000000:0.000000:0.000000
Si se trazan las diagonales de un rombo, se :@0.153337:0.300484:0.489808:0.300484:0.489808:0.284814:0.153337:0.284814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtienen cuatro triángulos congruentes en-:@0.153356:0.316831:0.485770:0.316831:0.485770:0.301161:0.153356:0.301161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tre sí.:@0.153356:0.333178:0.191188:0.333178:0.191188:0.317509:0.153356:0.317509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.124867:0.353094:0.145358:0.353094:0.145358:0.335958:0.124867:0.335958:0.000000:0.000000:0.000000
Si dos lados de un triángulo tienen la misma :@0.153356:0.353094:0.489824:0.353094:0.489824:0.337424:0.153356:0.337424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida que los dos lados de otro triángulo, :@0.153356:0.369442:0.489826:0.369442:0.489826:0.353772:0.153356:0.353772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.485772:0.369442:0.489808:0.369442:0.489808:0.353772:0.485772:0.353772:0.000000
estos triángulos son congruentes.:@0.153356:0.385789:0.400043:0.385789:0.400043:0.370119:0.153356:0.370119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.124867:0.405705:0.144105:0.405705:0.144105:0.388569:0.124867:0.388569:0.000000:0.000000:0.000000
Si dos triángulos son congruentes, sus lados :@0.153356:0.405705:0.489785:0.405705:0.489785:0.390035:0.153356:0.390035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son proporcionales.:@0.153356:0.422052:0.297200:0.422052:0.297200:0.406382:0.153356:0.406382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.124867:0.441968:0.141986:0.441968:0.141986:0.424832:0.124867:0.424832:0.000000:0.000000:0.000000
Si dos triángulos son congruentes, todos :@0.153356:0.441968:0.489824:0.441968:0.489824:0.426298:0.153356:0.426298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los elementos del primer triángulo tienen la :@0.153356:0.458315:0.489769:0.458315:0.489769:0.442645:0.153356:0.442645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
misma medida que los correspondientes ele-:@0.153356:0.474663:0.485772:0.474663:0.485772:0.458993:0.153356:0.458993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mentos del segundo triángulo.:@0.153356:0.491010:0.379570:0.491010:0.379570:0.475340:0.153356:0.475340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.124867:0.510926:0.145155:0.510926:0.145155:0.493790:0.124867:0.493790:0.000000:0.000000:0.000000
En geometría, “congruencia” es lo mismo que :@0.153356:0.510926:0.489828:0.510926:0.489828:0.495256:0.153356:0.495256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“igualdad”.:@0.153356:0.527522:0.229130:0.527522:0.229130:0.511852:0.153356:0.511852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.096378:0.551241:0.115118:0.551241:0.115118:0.534105:0.096378:0.534105:0.000000:0.000000:0.000000
Traza:@0.124867:0.551241:0.167029:0.551241:0.167029:0.534340:0.124867:0.534340:0.000000:0.000000:0.000000:0.000000:0.000000
  en  tu cuaderno  los triángulos solicitados :@0.167029:0.551241:0.489769:0.551241:0.489769:0.535571:0.167029:0.535571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en cada caso.:@0.124848:0.567837:0.222845:0.567837:0.222845:0.552168:0.124848:0.552168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.591556:0.144087:0.591556:0.144087:0.574421:0.124848:0.574421:0.000000:0.000000:0.000000
Triángulos congruentes isósceles en diferen-:@0.153337:0.591556:0.485746:0.591556:0.485746:0.575887:0.153337:0.575887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tes posiciones:@0.153337:0.608153:0.257030:0.608153:0.257030:0.592483:0.153337:0.592483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.124848:0.631872:0.145229:0.631872:0.145229:0.614736:0.124848:0.614736:0.000000:0.000000:0.000000
Triángulos congruentes rectángulos en dife-:@0.153337:0.631872:0.485754:0.631872:0.485754:0.616202:0.153337:0.616202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rentes posiciones:@0.153337:0.648468:0.281078:0.648468:0.281078:0.632798:0.153337:0.632798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. :@0.096359:0.672187:0.115100:0.672187:0.115100:0.655051:0.096359:0.655051:0.000000:0.000000:0.000000
Copia:@0.124848:0.672187:0.170641:0.672187:0.170641:0.655286:0.124848:0.655286:0.000000:0.000000:0.000000:0.000000:0.000000
 los triángulos en tu cuaderno y :@0.170641:0.672187:0.410624:0.672187:0.410624:0.656517:0.170641:0.656517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pinta:@0.411361:0.672187:0.453137:0.672187:0.453137:0.655286:0.411361:0.655286:0.000000:0.000000:0.000000:0.000000:0.000000
 con :@0.453137:0.672187:0.489844:0.672187:0.489844:0.656517:0.453137:0.656517:0.000000:0.000000:0.000000:0.000000:0.000000
colores diferentes los triángulos que son con-:@0.124848:0.688783:0.485717:0.688783:0.485717:0.673114:0.124848:0.673114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gruentes entre sí.:@0.124848:0.705380:0.250836:0.705380:0.250836:0.689710:0.124848:0.689710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.514243:0.125931:0.532984:0.125931:0.532984:0.108796:0.514243:0.108796:0.000000:0.000000:0.000000
En cada grupo de triángulos, :@0.542732:0.125931:0.753120:0.125931:0.753120:0.110262:0.542732:0.110262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escoge:@0.754318:0.125931:0.808237:0.125931:0.808237:0.109031:0.754318:0.109031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los que sean :@0.807869:0.125931:0.907663:0.125931:0.907663:0.110262:0.807869:0.110262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
congruentes y :@0.542732:0.142528:0.646885:0.142528:0.646885:0.126858:0.542732:0.126858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
justifica:@0.646074:0.142528:0.705761:0.142528:0.705761:0.125627:0.646074:0.125627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con el respectivo postulado.:@0.705393:0.142528:0.903620:0.142528:0.903620:0.126858:0.705393:0.126858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.542732:0.166247:0.561970:0.166247:0.561970:0.149111:0.542732:0.149111:0.000000:0.000000:0.000000
      Los triángulos :@0.542732:0.300290:0.673382:0.300290:0.673382:0.284620:0.542732:0.284620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.708765:0.300290:0.724944:0.300290:0.724944:0.284620:0.708765:0.284620:0.000000:0.000000:0.000000
 :@0.760325:0.300290:0.764361:0.300290:0.764361:0.284620:0.760325:0.284620:0.000000
son congruentes.:@0.764361:0.300290:0.891160:0.300290:0.891160:0.284620:0.764361:0.284620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      Cumple el postulado:@0.542732:0.325019:0.720558:0.325019:0.720558:0.309349:0.542732:0.309349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.720558:0.325019:0.724594:0.325019:0.724594:0.309349:0.720558:0.309349:0.000000
 :@0.786511:0.325019:0.790547:0.325019:0.790547:0.309349:0.786511:0.309349:0.000000
porque::@0.790547:0.325019:0.847672:0.325019:0.847672:0.309349:0.790547:0.309349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.542732:0.372470:0.563113:0.372470:0.563113:0.355335:0.542732:0.355335:0.000000:0.000000:0.000000
      Los triángulos :@0.542732:0.492103:0.673382:0.492103:0.673382:0.476433:0.542732:0.476433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y:@0.708765:0.492103:0.720909:0.492103:0.720909:0.476433:0.708765:0.476433:0.000000:0.000000
 :@0.720909:0.492103:0.724944:0.492103:0.724944:0.476433:0.720909:0.476433:0.000000
 :@0.760325:0.492103:0.764361:0.492103:0.764361:0.476433:0.760325:0.476433:0.000000
son congruentes.:@0.764361:0.492103:0.891160:0.492103:0.891160:0.476433:0.764361:0.476433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      Cumple el postulado:@0.542732:0.516831:0.720558:0.516831:0.720558:0.501161:0.542732:0.501161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.720558:0.516831:0.724594:0.516831:0.724594:0.501161:0.720558:0.501161:0.000000
 :@0.786511:0.516831:0.790547:0.516831:0.790547:0.501161:0.786511:0.501161:0.000000
porque::@0.790547:0.516831:0.847672:0.516831:0.847672:0.501161:0.790547:0.501161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.542732:0.564283:0.560551:0.564283:0.560551:0.547147:0.542732:0.547147:0.000000:0.000000:0.000000
  :@0.542732:0.676364:0.550803:0.676364:0.550803:0.660694:0.542732:0.660694:0.000000:0.000000
    Los triángulos :@0.542732:0.693555:0.665311:0.693555:0.665311:0.677885:0.542732:0.677885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.700693:0.693555:0.704729:0.693555:0.704729:0.677885:0.700693:0.677885:0.000000
y :@0.704729:0.693555:0.716873:0.693555:0.716873:0.677885:0.704729:0.677885:0.000000:0.000000
 :@0.752254:0.693555:0.756290:0.693555:0.756290:0.677885:0.752254:0.677885:0.000000
son congruentes.:@0.756290:0.693555:0.883088:0.693555:0.883088:0.677885:0.756290:0.677885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      Cumple el postulado :@0.542732:0.718283:0.724594:0.718283:0.724594:0.702614:0.542732:0.702614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.786511:0.718283:0.790547:0.718283:0.790547:0.702614:0.786511:0.702614:0.000000
porque::@0.790547:0.718283:0.847672:0.718283:0.847672:0.702614:0.790547:0.702614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.514243:0.742002:0.532984:0.742002:0.532984:0.724867:0.514243:0.724867:0.000000:0.000000:0.000000
Demuestra:@0.542732:0.742002:0.630353:0.742002:0.630353:0.725102:0.542732:0.725102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en tu cuaderno que al trazar una dia-:@0.630353:0.742002:0.903655:0.742002:0.903655:0.726333:0.630353:0.726333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gonal en un rectángulo los triángulos resultantes :@0.542732:0.758599:0.907651:0.758599:0.907651:0.742929:0.542732:0.742929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son congruentes. :@0.542732:0.775195:0.673566:0.775195:0.673566:0.759525:0.542732:0.759525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.568108:0.186460:0.577231:0.186460:0.577231:0.172923:0.568108:0.172923:0.000000
B:@0.565426:0.251761:0.573762:0.251761:0.573762:0.238224:0.565426:0.238224:0.000000
I:@0.591671:0.224385:0.595414:0.224385:0.595414:0.210847:0.591671:0.210847:0.000000
II:@0.710578:0.220865:0.718063:0.220865:0.718063:0.207327:0.710578:0.207327:0.000000:0.000000
III:@0.831269:0.242636:0.842496:0.242636:0.842496:0.229098:0.831269:0.229098:0.000000:0.000000:0.000000
C:@0.640387:0.251761:0.649302:0.251761:0.649302:0.238224:0.640387:0.238224:0.000000
X:@0.893252:0.269422:0.901620:0.269422:0.901620:0.255884:0.893252:0.255884:0.000000
Z:@0.775019:0.269422:0.783420:0.269422:0.783420:0.255884:0.775019:0.255884:0.000000
M:@0.747810:0.183133:0.760339:0.183133:0.760339:0.169595:0.747810:0.169595:0.000000
N:@0.669845:0.207243:0.679996:0.207243:0.679996:0.193705:0.669845:0.193705:0.000000
O:@0.713566:0.269422:0.724295:0.269422:0.724295:0.255884:0.713566:0.255884:0.000000
Y:@0.833919:0.209823:0.842223:0.209823:0.842223:0.196285:0.833919:0.196285:0.000000
3:@0.790648:0.231256:0.798550:0.231256:0.798550:0.217719:0.790648:0.217719:0.000000
3:@0.687144:0.237018:0.695046:0.237018:0.695046:0.223481:0.687144:0.223481:0.000000
4:@0.879663:0.232763:0.887566:0.232763:0.887566:0.219225:0.879663:0.219225:0.000000
4:@0.733772:0.227736:0.741674:0.227736:0.741674:0.214198:0.733772:0.214198:0.000000
3:@0.601260:0.252268:0.609163:0.252268:0.609163:0.238730:0.601260:0.238730:0.000000
4:@0.562101:0.218611:0.570003:0.218611:0.570003:0.205073:0.562101:0.205073:0.000000
A:@0.569391:0.394505:0.578756:0.394505:0.578756:0.380609:0.569391:0.380609:0.000000
B:@0.654483:0.444521:0.663040:0.444521:0.663040:0.430625:0.654483:0.430625:0.000000
I:@0.585730:0.424500:0.589572:0.424500:0.589572:0.410604:0.585730:0.410604:0.000000
II:@0.712403:0.416036:0.720086:0.416036:0.720086:0.402140:0.712403:0.402140:0.000000:0.000000
III:@0.846049:0.415133:0.857574:0.415133:0.857574:0.401237:0.846049:0.401237:0.000000:0.000000:0.000000
C:@0.541923:0.444521:0.551074:0.444521:0.551074:0.430625:0.541923:0.430625:0.000000
X:@0.855414:0.452602:0.864004:0.452602:0.864004:0.438706:0.855414:0.438706:0.000000
Z:@0.791872:0.376290:0.800495:0.376290:0.800495:0.362394:0.791872:0.362394:0.000000
M:@0.715041:0.452602:0.727901:0.452602:0.727901:0.438706:0.715041:0.438706:0.000000
N:@0.658357:0.415133:0.668777:0.415133:0.668777:0.401237:0.658357:0.401237:0.000000
O:@0.754841:0.380473:0.765855:0.380473:0.765855:0.366577:0.754841:0.366577:0.000000
Y:@0.892890:0.413846:0.901414:0.413846:0.901414:0.399950:0.892890:0.399950:0.000000
70º:@0.868026:0.415513:0.887001:0.415513:0.887001:0.403851:0.868026:0.403851:0.000000:0.000000:0.000000
70º:@0.679054:0.421205:0.698028:0.421205:0.698028:0.409543:0.679054:0.409543:0.000000:0.000000:0.000000
30º:@0.813591:0.398396:0.832565:0.398396:0.832565:0.386733:0.813591:0.386733:0.000000:0.000000:0.000000
30º:@0.726345:0.400458:0.745319:0.400458:0.745319:0.388796:0.726345:0.388796:0.000000:0.000000:0.000000
10:@0.849767:0.395787:0.863863:0.395787:0.863863:0.384124:0.849767:0.384124:0.000000:0.000000
10:@0.696805:0.397488:0.710902:0.397488:0.710902:0.385826:0.696805:0.385826:0.000000:0.000000
10:@0.607265:0.412069:0.621361:0.412069:0.621361:0.400407:0.607265:0.400407:0.000000:0.000000
30º:@0.616539:0.432373:0.635513:0.432373:0.635513:0.420710:0.616539:0.420710:0.000000:0.000000:0.000000
70º:@0.556085:0.432373:0.575059:0.432373:0.575059:0.420710:0.556085:0.420710:0.000000:0.000000:0.000000
A:@0.545151:0.642455:0.553803:0.642455:0.553803:0.629615:0.545151:0.629615:0.000000
B:@0.582320:0.581928:0.590226:0.581928:0.590226:0.569089:0.582320:0.569089:0.000000
I:@0.590303:0.605503:0.593852:0.605503:0.593852:0.592664:0.590303:0.592664:0.000000
II:@0.723748:0.607847:0.730846:0.607847:0.730846:0.595008:0.723748:0.595008:0.000000:0.000000
III:@0.838029:0.605503:0.848677:0.605503:0.848677:0.592664:0.838029:0.592664:0.000000:0.000000:0.000000
C:@0.641243:0.606658:0.649698:0.606658:0.649698:0.593819:0.641243:0.593819:0.000000
X:@0.840055:0.632760:0.847992:0.632760:0.847992:0.619920:0.840055:0.619920:0.000000
Z:@0.775709:0.574497:0.783676:0.574497:0.783676:0.561658:0.775709:0.561658:0.000000
M:@0.770316:0.645324:0.782198:0.645324:0.782198:0.632485:0.770316:0.632485:0.000000
N:@0.735295:0.578407:0.744922:0.578407:0.744922:0.565568:0.735295:0.565568:0.000000
O:@0.673797:0.599787:0.683973:0.599787:0.683973:0.586948:0.673797:0.586948:0.000000
Y:@0.895977:0.600084:0.903853:0.600084:0.903853:0.587245:0.895977:0.587245:0.000000
7:@0.561680:0.606170:0.568193:0.606170:0.568193:0.595395:0.561680:0.595395:0.000000
7:@0.755487:0.605018:0.761999:0.605018:0.761999:0.594242:0.755487:0.594242:0.000000
8:@0.847280:0.587735:0.853793:0.587735:0.853793:0.576959:0.847280:0.576959:0.000000
4:@0.868861:0.618861:0.875373:0.618861:0.875373:0.608085:0.868861:0.608085:0.000000
7:@0.805389:0.607361:0.811901:0.607361:0.811901:0.596586:0.805389:0.596586:0.000000
8:@0.706372:0.623777:0.712884:0.623777:0.712884:0.613002:0.706372:0.613002:0.000000
8:@0.601401:0.624844:0.607913:0.624844:0.607913:0.614069:0.601401:0.614069:0.000000
4:@0.620227:0.591546:0.626739:0.591546:0.626739:0.580770:0.620227:0.580770:0.000000
4:@0.703376:0.587735:0.709888:0.587735:0.709888:0.576959:0.703376:0.576959:0.000000
A:@0.609165:0.887867:0.618161:0.887867:0.618161:0.872993:0.609165:0.872993:0.000000
D:@0.609165:0.802421:0.619652:0.802421:0.619652:0.787547:0.609165:0.787547:0.000000
B:@0.785534:0.887867:0.793575:0.887867:0.793575:0.872993:0.785534:0.872993:0.000000
C:@0.785534:0.802421:0.794547:0.802421:0.794547:0.787547:0.785534:0.787547:0.000000
Varias respuestas:@0.266387:0.605682:0.345085:0.605682:0.345085:0.595710:0.266387:0.595710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.685745:0.295452:0.691468:0.295452:0.691468:0.285480:0.685745:0.285480:0.000000
3:@0.741025:0.295452:0.746747:0.295452:0.746747:0.285480:0.741025:0.285480:0.000000
LAL:@0.749210:0.320597:0.766577:0.320597:0.766577:0.310625:0.749210:0.310625:0.000000:0.000000:0.000000
2:@0.682391:0.490335:0.688114:0.490335:0.688114:0.480363:0.682391:0.480363:0.000000
3:@0.737671:0.490335:0.743393:0.490335:0.743393:0.480363:0.737671:0.480363:0.000000
ALA:@0.746724:0.515480:0.765698:0.515480:0.765698:0.505508:0.746724:0.505508:0.000000:0.000000:0.000000
1:@0.684056:0.691502:0.689779:0.691502:0.689779:0.681530:0.684056:0.681530:0.000000
2:@0.739336:0.691502:0.745059:0.691502:0.745059:0.681530:0.739336:0.681530:0.000000
LLL:@0.744977:0.716646:0.760737:0.716646:0.760737:0.706675:0.744977:0.706675:0.000000:0.000000:0.000000
Varias respuestas:@0.296525:0.647171:0.375222:0.647171:0.375222:0.637199:0.296525:0.637199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.209149:0.748198:0.214473:0.748198:0.214473:0.738227:0.209149:0.738227:0.000000
a:@0.341497:0.919195:0.346821:0.919195:0.346821:0.909223:0.341497:0.909223:0.000000
c:@0.287941:0.817358:0.293171:0.817358:0.293171:0.807386:0.287941:0.807386:0.000000
c:@0.244388:0.870164:0.249618:0.870164:0.249618:0.860193:0.244388:0.860193:0.000000
b:@0.359357:0.731864:0.365830:0.731864:0.365830:0.721892:0.359357:0.721892:0.000000
b:@0.198537:0.912911:0.205010:0.912911:0.205010:0.902940:0.198537:0.902940:0.000000
:@0.849048:0.176858:0.857732:0.176858:0.857732:0.166580:0.849048:0.166580:0.000000
:@0.874988:0.176858:0.883672:0.176858:0.883672:0.166580:0.874988:0.166580:0.000000
AB:@0.849719:0.161041:0.861016:0.161041:0.861016:0.151595:0.849719:0.151595:0.000000:0.000000
XY:@0.873466:0.161041:0.884344:0.161041:0.884344:0.151595:0.873466:0.151595:0.000000:0.000000
B:@0.857529:0.176323:0.862957:0.176323:0.862957:0.166878:0.857529:0.166878:0.000000
Y:@0.883469:0.176323:0.888942:0.176323:0.888942:0.166878:0.883469:0.166878:0.000000
YZ:@0.848342:0.193396:0.859447:0.193396:0.859447:0.183950:0.848342:0.183950:0.000000:0.000000
BC:@0.871919:0.193396:0.883408:0.193396:0.883408:0.183950:0.871919:0.183950:0.000000:0.000000
≅:@0.863970:0.161452:0.870178:0.161452:0.870178:0.151896:0.863970:0.151896:0.000000
≅:@0.865915:0.176737:0.872123:0.176737:0.872123:0.167180:0.865915:0.167180:0.000000
≅:@0.863088:0.193812:0.869296:0.193812:0.869296:0.184256:0.863088:0.184256:0.000000
:@0.758042:0.415779:0.766726:0.415779:0.766726:0.405502:0.758042:0.405502:0.000000
:@0.785644:0.415779:0.794329:0.415779:0.794329:0.405502:0.785644:0.405502:0.000000
:@0.758042:0.448139:0.766726:0.448139:0.766726:0.437862:0.758042:0.437862:0.000000
:@0.785848:0.448139:0.794532:0.448139:0.794532:0.437862:0.785848:0.437862:0.000000
N:@0.766523:0.415244:0.773432:0.415244:0.773432:0.405799:0.766523:0.405799:0.000000
Y:@0.794125:0.415244:0.799598:0.415244:0.799598:0.405799:0.794125:0.405799:0.000000
NO:@0.757794:0.432317:0.771906:0.432317:0.771906:0.422872:0.757794:0.422872:0.000000:0.000000
YZ:@0.783237:0.432317:0.794341:0.432317:0.794341:0.422872:0.783237:0.422872:0.000000:0.000000
O:@0.766522:0.447600:0.773815:0.447600:0.773815:0.438154:0.766522:0.438154:0.000000
Z:@0.794328:0.447600:0.800027:0.447600:0.800027:0.438154:0.794328:0.438154:0.000000
≅:@0.776567:0.415660:0.782775:0.415660:0.782775:0.406104:0.776567:0.406104:0.000000
≅:@0.774859:0.432736:0.781067:0.432736:0.781067:0.423180:0.774859:0.423180:0.000000
≅:@0.776769:0.448016:0.782977:0.448016:0.782977:0.438460:0.776769:0.438460:0.000000
AB:@0.637699:0.629023:0.648996:0.629023:0.648996:0.619578:0.637699:0.619578:0.000000:0.000000
MN:@0.661027:0.629023:0.676417:0.629023:0.676417:0.619578:0.661027:0.619578:0.000000:0.000000
BC:@0.636783:0.645793:0.648272:0.645793:0.648272:0.636347:0.636783:0.636347:0.000000:0.000000
NO:@0.660575:0.645793:0.674687:0.645793:0.674687:0.636347:0.660575:0.636347:0.000000:0.000000
CA OM:@0.636783:0.663191:0.675456:0.663191:0.675456:0.653745:0.636783:0.653745:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.651936:0.629439:0.658144:0.629439:0.658144:0.619883:0.651936:0.619883:0.000000
≅:@0.651732:0.646209:0.657940:0.646209:0.657940:0.636653:0.651732:0.636653:0.000000
≅:@0.651029:0.663605:0.657237:0.663605:0.657237:0.654049:0.651029:0.654049:0.000000
F:@0.471502:0.191835:0.476920:0.191835:0.476920:0.181864:0.471502:0.181864:0.000000
F:@0.471502:0.382942:0.476920:0.382942:0.476920:0.372971:0.471502:0.372971:0.000000
F:@0.471502:0.418147:0.476920:0.418147:0.476920:0.408175:0.471502:0.408175:0.000000
F:@0.471502:0.522502:0.476920:0.522502:0.476920:0.512530:0.471502:0.512530:0.000000
V:@0.471232:0.276071:0.477201:0.276071:0.477201:0.266099:0.471232:0.266099:0.000000
V:@0.471232:0.325964:0.477201:0.325964:0.477201:0.315992:0.471232:0.315992:0.000000
V:@0.471232:0.488556:0.477201:0.488556:0.477201:0.478584:0.471232:0.478584:0.000000