168:@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
La compresión y estudio de los ángulos ha sido crucial en el avance de la humani­:@0.286311:0.150300:0.884730:0.150300:0.884730:0.133911:0.286311:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad, desde la construcción de ciudades hasta la creación de herramientas y vesti­:@0.286311:0.166897:0.884638:0.166897:0.884638:0.150508:0.286311:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
menta. Ha permitido la creación de instrumentos que ayudaron al desarrollo y :@0.286311:0.183493:0.888635:0.183493:0.888635:0.167104:0.286311:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progreso de la humanidad.:@0.286311:0.200089:0.483853:0.200089:0.483853:0.183700:0.286311:0.183700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un ángulo es la figura formada por dos rayos con un punto en común. Los rayos :@0.286311:0.223808:0.888683:0.223808:0.888683:0.207419:0.286311:0.207419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son los lados del ángulo, mientras que el punto en común se llama vértice. El sím­:@0.286311:0.240405:0.884653:0.240405:0.884653:0.224016:0.286311:0.224016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bolo para denotar a un ángulo es   o  .:@0.286311:0.257001:0.583714:0.257001:0.583714:0.240612:0.286311:0.240612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∠:@0.534328:0.257596:0.548481:0.257596:0.548481:0.239575:0.534328:0.239575:0.000000
:@0.566356:0.257872:0.580508:0.257872:0.580508:0.243337:0.566356:0.243337:0.000000
Medida de ángulos:@0.286308:0.296894:0.479681:0.296894:0.479681:0.275384:0.286308:0.275384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los ángulos se miden en grados. Si a la circunferencia se le divide en 360 partes :@0.286308:0.319675:0.888576:0.319675:0.888576:0.303286:0.286308:0.303286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales, cada una de estas partes es un grado.:@0.286308:0.336271:0.619748:0.336271:0.619748:0.319883:0.286308:0.319883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La medida de un ángulo se refiere a cuántos grados tiene la abertura entre sus :@0.286308:0.359990:0.888652:0.359990:0.888652:0.343602:0.286308:0.343602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados.:@0.286308:0.376587:0.328286:0.376587:0.328286:0.360198:0.286308:0.360198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tipos de ángulos por su medida:@0.286308:0.405705:0.561757:0.405705:0.561757:0.387268:0.286308:0.387268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo agudo.:@0.296642:0.439241:0.414098:0.439241:0.414098:0.422340:0.296642:0.422340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Es aquel ángulo que :@0.414098:0.439241:0.571194:0.439241:0.571194:0.422852:0.414098:0.422852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mide menos de 90º.:@0.296642:0.455837:0.443603:0.455837:0.443603:0.439448:0.296642:0.439448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo recto.:@0.595815:0.439241:0.702970:0.439241:0.702970:0.422340:0.595815:0.422340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Es el ángulo que mide :@0.702970:0.439241:0.873868:0.439241:0.873868:0.422852:0.702970:0.422852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
90º.:@0.595815:0.455837:0.623217:0.455837:0.623217:0.439448:0.595815:0.439448:0.000000:0.000000:0.000000:0.000000
Ángulo obtuso.:@0.296642:0.546163:0.418797:0.546163:0.418797:0.529262:0.296642:0.529262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Si su medida es :@0.418797:0.546163:0.540143:0.546163:0.540143:0.529774:0.418797:0.529774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  mayor que 90º y menor que 180º.:@0.296642:0.562759:0.542688:0.562759:0.542688:0.546370:0.296642:0.546370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo llano. :@0.595815:0.546163:0.705347:0.546163:0.705347:0.529262:0.595815:0.529262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es un ángulo que mide :@0.705347:0.546163:0.879027:0.546163:0.879027:0.529774:0.705347:0.529774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
180º.:@0.595815:0.562759:0.632209:0.562759:0.632209:0.546370:0.595815:0.546370:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos por su posición:@0.286308:0.663855:0.494533:0.663855:0.494533:0.645418:0.286308:0.645418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos adyacentes.:@0.296642:0.697391:0.460775:0.697391:0.460775:0.680490:0.296642:0.680490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Son dos :@0.460775:0.697391:0.527907:0.697391:0.527907:0.681002:0.460775:0.681002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos que tienen un mismo vértice :@0.296642:0.713987:0.575502:0.713987:0.575502:0.697598:0.296642:0.697598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y un lado en común.:@0.296642:0.730584:0.447454:0.730584:0.447454:0.714195:0.296642:0.714195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos opuestos por el vértice.:@0.595815:0.697391:0.850868:0.697391:0.850868:0.680490:0.595815:0.680490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Son dos ángulos no adyacentes :@0.595815:0.713987:0.832625:0.713987:0.832625:0.697598:0.595815:0.697598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formados por dos líneas que se :@0.595815:0.730584:0.828556:0.730584:0.828556:0.714195:0.595815:0.714195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intersecan.:@0.595815:0.747180:0.674980:0.747180:0.674980:0.730791:0.595815:0.730791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos complementarios.:@0.296642:0.818572:0.510548:0.818572:0.510548:0.801671:0.296642:0.801671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Son dos :@0.510548:0.818572:0.577680:0.818572:0.577680:0.802183:0.510548:0.802183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos cuya suma de sus medidas es  ángulos cuya suma de sus medidas es :@0.296642:0.835168:0.878771:0.835168:0.878771:0.818780:0.296642:0.818780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a 90º.:@0.296642:0.851765:0.376415:0.851765:0.376415:0.835376:0.296642:0.835376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos suplementarios. :@0.595815:0.818572:0.797575:0.818572:0.797575:0.801671:0.595815:0.801671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Son dos :@0.797575:0.818572:0.860672:0.818572:0.860672:0.802183:0.797575:0.802183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a 180º.:@0.595815:0.851765:0.684581:0.851765:0.684581:0.835376:0.595815:0.835376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Ángulos. Postulados y teoremas:@0.286308:0.079033:0.849791:0.079033:0.849791:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
T:@0.669738:0.516480:0.676387:0.516480:0.676387:0.503094:0.669738:0.503094:0.000000
90°:@0.697435:0.502404:0.716583:0.502404:0.716583:0.488995:0.697435:0.488995:0.000000:0.000000:0.000000
180°:@0.723798:0.599624:0.750304:0.599624:0.750304:0.586215:0.723798:0.586215:0.000000:0.000000:0.000000:0.000000
B:@0.643682:0.615742:0.650919:0.615742:0.650919:0.602355:0.643682:0.602355:0.000000
A:@0.732999:0.615742:0.741095:0.615742:0.741095:0.602355:0.732999:0.602355:0.000000
C:@0.822738:0.615742:0.830849:0.615742:0.830849:0.602355:0.822738:0.602355:0.000000
1:@0.412026:0.782303:0.419384:0.782303:0.419384:0.768894:0.412026:0.768894:0.000000
M:@0.376791:0.791536:0.388159:0.791536:0.388159:0.778150:0.376791:0.778150:0.000000
2:@0.391345:0.779329:0.398703:0.779329:0.398703:0.765920:0.391345:0.765920:0.000000
T:@0.386023:0.912085:0.392672:0.912085:0.392672:0.898699:0.386023:0.898699:0.000000
1:@0.424587:0.903356:0.431945:0.903356:0.431945:0.889947:0.424587:0.889947:0.000000
2:@0.404640:0.892312:0.411998:0.892312:0.411998:0.878902:0.404640:0.878902:0.000000
M:@0.363474:0.516480:0.374842:0.516480:0.374842:0.503094:0.363474:0.503094:0.000000
60°:@0.406851:0.507292:0.425999:0.507292:0.425999:0.493883:0.406851:0.493883:0.000000:0.000000:0.000000
P:@0.364662:0.624291:0.371839:0.624291:0.371839:0.610905:0.364662:0.610905:0.000000
110°:@0.412668:0.613960:0.439173:0.613960:0.439173:0.600551:0.412668:0.600551:0.000000:0.000000:0.000000:0.000000
1:@0.745124:0.768459:0.752482:0.768459:0.752482:0.755049:0.745124:0.755049:0.000000
2:@0.791893:0.767565:0.799251:0.767565:0.799251:0.754156:0.791893:0.754156:0.000000
B:@0.645700:0.910481:0.652937:0.910481:0.652937:0.897094:0.645700:0.897094:0.000000
A:@0.735017:0.910481:0.743114:0.910481:0.743114:0.897094:0.735017:0.897094:0.000000
C:@0.824757:0.910481:0.832868:0.910481:0.832868:0.897094:0.824757:0.897094:0.000000
1:@0.738810:0.897175:0.746168:0.897175:0.746168:0.883766:0.738810:0.883766:0.000000
2:@0.709364:0.896111:0.716722:0.896111:0.716722:0.882702:0.709364:0.882702:0.000000
B:@0.220623:0.270052:0.227860:0.270052:0.227860:0.256665:0.220623:0.256665:0.000000
C:@0.242410:0.310302:0.250521:0.310302:0.250521:0.296915:0.242410:0.296915:0.000000
A:@0.118234:0.311015:0.126331:0.311015:0.126331:0.297628:0.118234:0.297628:0.000000
:@0.170974:0.322568:0.182553:0.322568:0.182553:0.310675:0.170974:0.310675:0.000000
BAC:@0.184755:0.321855:0.208124:0.321855:0.208124:0.308469:0.184755:0.308469:0.000000:0.000000:0.000000
M:@0.118232:0.377271:0.129600:0.377271:0.129600:0.363884:0.118232:0.363884:0.000000
:@0.176972:0.388824:0.188552:0.388824:0.188552:0.376931:0.176972:0.376931:0.000000
M:@0.190753:0.388111:0.202121:0.388111:0.202121:0.374725:0.190753:0.374725:0.000000
2:@0.163345:0.436996:0.170311:0.436996:0.170311:0.423610:0.163345:0.423610:0.000000
:@0.179176:0.455679:0.190755:0.455679:0.190755:0.443786:0.179176:0.443786:0.000000
2:@0.192957:0.454966:0.199922:0.454966:0.199922:0.441579:0.192957:0.441579:0.000000
Notación de ángulos:@0.107350:0.202331:0.256630:0.202331:0.256630:0.186967:0.107350:0.186967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un ángulo puede :@0.139263:0.220977:0.260299:0.220977:0.260299:0.206078:0.139263:0.206078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denotarse de las :@0.147422:0.236065:0.260299:0.236065:0.260299:0.221166:0.147422:0.221166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes maneras::@0.125007:0.251152:0.256629:0.251152:0.256629:0.236253:0.125007:0.236253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.127671:0.169890:0.235212:0.169890:0.235212:0.152990:0.127671:0.152990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M:@0.117254:0.754572:0.128622:0.754572:0.128622:0.741185:0.117254:0.741185:0.000000
:@0.175994:0.766125:0.187573:0.766125:0.187573:0.754232:0.175994:0.754232:0.000000
M:@0.189775:0.765412:0.201143:0.765412:0.201143:0.752026:0.189775:0.752026:0.000000
N:@0.117254:0.820834:0.126466:0.820834:0.126466:0.807447:0.117254:0.807447:0.000000
:@0.176597:0.832387:0.188176:0.832387:0.188176:0.820495:0.176597:0.820495:0.000000
N:@0.190378:0.831674:0.199590:0.831674:0.199590:0.818288:0.190378:0.818288:0.000000
m  M = m  N:@0.142131:0.853265:0.234056:0.853265:0.234056:0.839878:0.142131:0.839878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.156816:0.853978:0.168395:0.853978:0.168395:0.842085:0.156816:0.842085:0.000000
:@0.211064:0.853978:0.222643:0.853978:0.222643:0.842085:0.211064:0.842085:0.000000
:@0.157178:0.869820:0.168757:0.869820:0.168757:0.857927:0.157178:0.857927:0.000000
M :@0.170958:0.869107:0.185040:0.869107:0.185040:0.855720:0.170958:0.855720:0.000000:0.000000
≅:@0.185040:0.869593:0.193318:0.869593:0.193318:0.854849:0.185040:0.854849:0.000000
:@0.196032:0.869820:0.207611:0.869820:0.207611:0.857927:0.196032:0.857927:0.000000
N:@0.209812:0.869107:0.219024:0.869107:0.219024:0.855720:0.209812:0.855720:0.000000
Ángulos congruentes:@0.090285:0.654626:0.244757:0.654626:0.244757:0.639262:0.090285:0.639262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos ángulos A y B son :@0.097237:0.673272:0.248427:0.673272:0.248427:0.658373:0.097237:0.658373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
congruentes si tienen :@0.100051:0.688360:0.248427:0.688360:0.248427:0.673461:0.100051:0.673461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual medida. :@0.154329:0.703447:0.248427:0.703447:0.248427:0.688548:0.154329:0.688548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115799:0.622185:0.223340:0.622185:0.223340:0.605285:0.115799:0.605285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.6. :@0.286308:0.954959:0.328360:0.954959:0.328360:0.944205:0.286308:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar la semejanza en la construcción de figuras semejantes, el cálculo de longitudes y la solución de problemas :@0.330388:0.954959:0.899928:0.954959:0.899928:0.944530:0.330388:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.548563:0.954959:0.551131:0.954959:0.551131:0.944530:0.548563:0.944530:0.000000
geométricos. :@0.286308:0.965521:0.349842:0.965521:0.349842:0.955091:0.286308:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000