﻿233:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial:@0.733496:0.043660:0.926913:0.043660:0.926913:0.024915:0.733496:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Utilizando regla y compás, en tu cuaderno, :@0.073089:0.136836:0.489689:0.136836:0.489689:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construye un triángulo cuyos lados midan:@0.103214:0.153478:0.420760:0.153478:0.420760:0.136808:0.103214:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  12 cm, 8 cm, 9 cm:@0.104633:0.205858:0.266004:0.205858:0.266004:0.190146:0.104633:0.190146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  5 cm, 4 cm, 3 cm:@0.104633:0.251090:0.257095:0.251090:0.257095:0.235377:0.104633:0.235377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Para los dos triángulos dados: :@0.073089:0.299895:0.331674:0.299895:0.331674:0.283225:0.073089:0.283225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.374299:0.299895:0.378201:0.299895:0.378201:0.283225:0.374299:0.283225:0.000000
Dibújalos en el cuaderno usando regla y compás.:@0.103215:0.316537:0.485825:0.316537:0.485825:0.299867:0.103215:0.299867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Después, dibuja: :@0.103210:0.333180:0.231869:0.333180:0.231869:0.316510:0.103210:0.316510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.253815:0.333180:0.257717:0.333180:0.257717:0.316510:0.253815:0.316510:0.000000
Medianas, con su baricentro.:@0.103207:0.349821:0.319109:0.349821:0.319109:0.333152:0.103207:0.333152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Alturas, con su ortocentro.:@0.103210:0.458153:0.301889:0.458153:0.301889:0.441484:0.103210:0.441484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bisectrices, con su incentro.:@0.103210:0.552191:0.310157:0.552191:0.310157:0.535522:0.103210:0.535522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mediatrices, con su circuncentro.:@0.103210:0.642655:0.350666:0.642655:0.350666:0.625985:0.103210:0.625985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.123891:0.799189:0.133485:0.799189:0.133485:0.785190:0.123891:0.785190:0.000000
B:@0.232130:0.732253:0.240411:0.732253:0.240411:0.718255:0.232130:0.718255:0.000000
C:@0.418617:0.799189:0.427964:0.799189:0.427964:0.785190:0.418617:0.785190:0.000000
5cm:@0.163705:0.762158:0.188552:0.762158:0.188552:0.750059:0.163705:0.750059:0.000000:0.000000:0.000000
6cm:@0.312900:0.758772:0.337747:0.758772:0.337747:0.746673:0.312900:0.746673:0.000000:0.000000:0.000000
7cm:@0.264475:0.809584:0.289322:0.809584:0.289322:0.797485:0.264475:0.797485:0.000000:0.000000:0.000000
A:@0.237779:0.909978:0.244625:0.909978:0.244625:0.899989:0.237779:0.899989:0.000000
B:@0.383520:0.909537:0.389430:0.909537:0.389430:0.899548:0.383520:0.899548:0.000000
C:@0.166547:0.821177:0.173217:0.821177:0.173217:0.811188:0.166547:0.811188:0.000000
8cm:@0.201619:0.877373:0.219350:0.877373:0.219350:0.868739:0.201619:0.868739:0.000000:0.000000:0.000000
10cm:@0.274433:0.861507:0.297099:0.861507:0.297099:0.852873:0.274433:0.852873:0.000000:0.000000:0.000000:0.000000
5cm:@0.301752:0.915276:0.319482:0.915276:0.319482:0.906642:0.301752:0.906642:0.000000:0.000000:0.000000
3.  Para el triángulo dado, dibuja la circunferencia :@0.514231:0.136836:0.930906:0.136836:0.930906:0.120167:0.514231:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inscrita y la circunferencia circunscrita.:@0.544355:0.153478:0.833984:0.153478:0.833984:0.136808:0.544355:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.545890:0.300839:0.554613:0.300839:0.554613:0.288110:0.545890:0.288110:0.000000
B:@0.716619:0.300839:0.724149:0.300839:0.724149:0.288110:0.716619:0.288110:0.000000
C:@0.634222:0.182522:0.642721:0.182522:0.642721:0.169794:0.634222:0.169794:0.000000
6cm:@0.691074:0.240180:0.713666:0.240180:0.713666:0.229179:0.691074:0.229179:0.000000:0.000000:0.000000
6cm:@0.556452:0.240180:0.579044:0.240180:0.579044:0.229179:0.556452:0.229179:0.000000:0.000000:0.000000
8cm:@0.627166:0.297272:0.649757:0.297272:0.649757:0.286271:0.627166:0.286271:0.000000:0.000000:0.000000
4.  Encuentra las medidas de los ángulos  ,  y  ::@0.514231:0.336060:0.882515:0.336060:0.882515:0.319391:0.514231:0.319391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y z:@0.831784:0.336060:0.878778:0.336060:0.878778:0.319377:0.831784:0.319377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20°:@0.783383:0.464037:0.800146:0.464037:0.800146:0.452770:0.783383:0.452770:0.000000:0.000000:0.000000
x:@0.741291:0.462575:0.746953:0.462575:0.746953:0.451308:0.741291:0.451308:0.000000
32°:@0.700177:0.462575:0.716939:0.462575:0.716939:0.451308:0.700177:0.451308:0.000000:0.000000:0.000000
90°:@0.549288:0.462575:0.566050:0.462575:0.566050:0.451308:0.549288:0.451308:0.000000:0.000000:0.000000
z:@0.632110:0.399330:0.637429:0.399330:0.637429:0.388063:0.632110:0.388063:0.000000
y:@0.554699:0.375902:0.560507:0.375902:0.560507:0.364635:0.554699:0.364635:0.000000
5.  Halla la medida de los ángulos  , ,  ,  y  :.   :@0.514231:0.502211:0.879585:0.502211:0.879585:0.485542:0.514231:0.485542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r  w x  y z:@0.778201:0.502211:0.858512:0.502211:0.858512:0.485528:0.778201:0.485528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Usa la medida de los ángulos para justificar tu :@0.544352:0.518853:0.930672:0.518853:0.930672:0.502184:0.544352:0.502184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respuesta.   :@0.544352:0.535495:0.638617:0.535495:0.638617:0.518826:0.544352:0.518826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tipo de triángulo es el :@0.544354:0.552137:0.756396:0.552137:0.756396:0.535467:0.544354:0.535467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.756203:0.552719:0.768480:0.552719:0.768480:0.535065:0.756203:0.535065:0.000000
BCD:@0.768388:0.552137:0.798502:0.552137:0.798502:0.535731:0.768388:0.535731:0.000000:0.000000:0.000000
? :@0.798449:0.552137:0.809751:0.552137:0.809751:0.535467:0.798449:0.535467:0.000000:0.000000
¿Qué tipo de triángulo es el :@0.542692:0.603290:0.754734:0.603290:0.754734:0.586621:0.542692:0.586621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.754541:0.603873:0.766819:0.603873:0.766819:0.586219:0.754541:0.586219:0.000000
CDE:@0.766727:0.603290:0.796123:0.603290:0.796123:0.586884:0.766727:0.586884:0.000000:0.000000:0.000000
?  :@0.796071:0.603290:0.811202:0.603290:0.811202:0.586621:0.796071:0.586621:0.000000:0.000000:0.000000
¿Qué tipo de triángulo es el :@0.542692:0.654443:0.754734:0.654443:0.754734:0.637773:0.542692:0.637773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.754541:0.655025:0.766819:0.655025:0.766819:0.637371:0.754541:0.637371:0.000000
ABC:@0.766727:0.654443:0.795203:0.654443:0.795203:0.638037:0.766727:0.638037:0.000000:0.000000:0.000000
? :@0.795151:0.654443:0.806453:0.654443:0.806453:0.637773:0.795151:0.637773:0.000000:0.000000
x:@0.561496:0.729186:0.566880:0.729186:0.566880:0.718473:0.561496:0.718473:0.000000
22,5°:@0.755486:0.802974:0.776443:0.802974:0.776443:0.793715:0.755486:0.793715:0.000000:0.000000:0.000000:0.000000:0.000000
45°:@0.561386:0.790536:0.575162:0.790536:0.575162:0.781276:0.561386:0.781276:0.000000:0.000000:0.000000
z:@0.692818:0.802974:0.697876:0.802974:0.697876:0.792260:0.692818:0.792260:0.000000
y:@0.572786:0.802974:0.578308:0.802974:0.578308:0.792260:0.572786:0.792260:0.000000
r:@0.663262:0.763194:0.666964:0.763194:0.666964:0.752481:0.663262:0.752481:0.000000
w:@0.718107:0.802974:0.727169:0.802974:0.727169:0.792260:0.718107:0.792260:0.000000
A:@0.548852:0.715687:0.556194:0.715687:0.556194:0.704974:0.548852:0.704974:0.000000
B:@0.549354:0.815236:0.555692:0.815236:0.555692:0.804522:0.549354:0.804522:0.000000
C:@0.635304:0.742154:0.642458:0.742154:0.642458:0.731441:0.635304:0.731441:0.000000
D:@0.712705:0.815233:0.720825:0.815233:0.720825:0.804520:0.712705:0.804520:0.000000
E:@0.815781:0.815233:0.821630:0.815233:0.821630:0.804520:0.815781:0.804520:0.000000
6.  Los ángulos de un triángulo se representan por:  :@0.514231:0.844172:0.930815:0.844172:0.930815:0.827503:0.514231:0.827503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.544355:0.860814:0.553798:0.860814:0.553798:0.844144:0.544355:0.844144:0.000000
x:@0.554387:0.860814:0.562505:0.860814:0.562505:0.844131:0.554387:0.844131:0.000000
–:@0.563002:0.861396:0.572205:0.861396:0.572205:0.843742:0.563002:0.843742:0.000000
4º; :@0.572905:0.860814:0.598362:0.860814:0.598362:0.844144:0.572905:0.844144:0.000000:0.000000:0.000000:0.000000
x:@0.602264:0.860814:0.610382:0.860814:0.610382:0.844131:0.602264:0.844131:0.000000
+:@0.610879:0.861396:0.626212:0.861396:0.626212:0.843742:0.610879:0.843742:0.000000
13º; 3:@0.626912:0.860814:0.675746:0.860814:0.675746:0.844144:0.626912:0.844144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.676317:0.860814:0.684434:0.860814:0.684434:0.844131:0.676317:0.844131:0.000000
–:@0.684931:0.861396:0.694135:0.861396:0.694135:0.843742:0.684931:0.843742:0.000000
51º. Halla la medida de los :@0.694835:0.860814:0.930871:0.860814:0.930871:0.844144:0.694835:0.844144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos.:@0.544355:0.877456:0.608703:0.877456:0.608703:0.860786:0.544355:0.860786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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