193:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Contenido:@0.472122:0.723389:0.551928:0.723389:0.551928:0.707257:0.472122:0.707257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puedes explicar en tus propias palabras la diferencia entre congruencia y semejanza de figuras?:@0.106003:0.746558:0.777451:0.746558:0.777451:0.730914:0.106003:0.730914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Comprendes la aplicación del teorema de Tales en la resolución de problemas geométricos?:@0.106003:0.767945:0.755990:0.767945:0.755990:0.752301:0.106003:0.752301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo usas las propiedades de los ángulos para resolver un problema?:@0.106003:0.789332:0.604399:0.789332:0.604399:0.773688:0.106003:0.773688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo aplicas los ángulos en problemas de la vida cotidiana?:@0.106003:0.810718:0.537135:0.810718:0.537135:0.795074:0.106003:0.795074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puedes identificar las líneas y puntos notables de los triángulos?:@0.106003:0.832105:0.559507:0.832105:0.559507:0.816461:0.106003:0.816461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Identificas las condiciones para trazar un triángulo?:@0.106003:0.853492:0.469677:0.853492:0.469677:0.837848:0.106003:0.837848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo determinas si un triángulo es acutángulo, obtusángulo o rectángulo?:@0.106003:0.874878:0.642727:0.874878:0.642727:0.859234:0.106003:0.859234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué estrategias usas para calcular el perímetro y área de un triángulo?:@0.106003:0.896265:0.601794:0.896265:0.601794:0.880621:0.106003:0.880621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo aplicas tus conocimientos sobre triángulos en problemas reales?:@0.106003:0.917652:0.609729:0.917652:0.609729:0.902008:0.106003:0.902008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Metacognición para aprender a aprender:@0.112704:0.697650:0.468420:0.697650:0.468420:0.679213:0.112704:0.679213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde :@0.499874:0.696393:0.583351:0.696393:0.583351:0.679492:0.499874:0.679492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en forma oral o escrita.:@0.583351:0.696393:0.749714:0.696393:0.749714:0.680004:0.583351:0.680004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
130º:@0.159346:0.490301:0.192534:0.490301:0.192534:0.473912:0.159346:0.473912:0.000000:0.000000:0.000000:0.000000
145º:@0.415656:0.490301:0.448844:0.490301:0.448844:0.473912:0.415656:0.473912:0.000000:0.000000:0.000000:0.000000
B:@0.249992:0.408107:0.258837:0.408107:0.258837:0.391746:0.249992:0.391746:0.000000
A:@0.190839:0.514974:0.200735:0.514974:0.200735:0.498613:0.190839:0.498613:0.000000
x:@0.271515:0.438658:0.278979:0.438658:0.278979:0.422297:0.271515:0.422297:0.000000
C:@0.408599:0.514974:0.418513:0.514974:0.418513:0.498613:0.408599:0.498613:0.000000
B:@0.240689:0.540863:0.249534:0.540863:0.249534:0.524502:0.240689:0.524502:0.000000
D:@0.258619:0.594940:0.270155:0.594940:0.270155:0.578578:0.258619:0.578578:0.000000
A:@0.173170:0.655281:0.183066:0.655281:0.183066:0.638920:0.173170:0.638920:0.000000
C:@0.449585:0.655281:0.459499:0.655281:0.459499:0.638920:0.449585:0.638920:0.000000
x:@0.267262:0.625491:0.274725:0.625491:0.274725:0.609130:0.267262:0.609130:0.000000
50º:@0.247397:0.576462:0.271592:0.576462:0.271592:0.560074:0.247397:0.560074:0.000000:0.000000:0.000000
2α:@0.229301:0.643858:0.248097:0.643858:0.248097:0.627469:0.229301:0.627469:0.000000:0.000000
2θ:@0.355954:0.643858:0.374400:0.643858:0.374400:0.627469:0.355954:0.627469:0.000000:0.000000
θ:@0.355420:0.622490:0.364873:0.622490:0.364873:0.606101:0.355420:0.606101:0.000000
α:@0.212882:0.626763:0.222685:0.626763:0.222685:0.610374:0.212882:0.610374:0.000000
10.:@0.523609:0.094891:0.547712:0.094891:0.547712:0.077990:0.523609:0.077990:0.000000:0.000000:0.000000
 En el triángulo ABC, se :@0.547712:0.094891:0.721614:0.094891:0.721614:0.078502:0.547712:0.078502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
traza:@0.722001:0.094891:0.761878:0.094891:0.761878:0.077990:0.722001:0.077990:0.000000:0.000000:0.000000:0.000000:0.000000
 la bisectriz del ángulo :@0.761878:0.094891:0.931300:0.094891:0.931300:0.078502:0.761878:0.078502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A. La medida del ángulo x es::@0.552098:0.111487:0.764771:0.111487:0.764771:0.095098:0.552098:0.095098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.552098:0.138775:0.570820:0.138775:0.570820:0.121874:0.552098:0.121874:0.000000:0.000000:0.000000
20°:@0.580587:0.138775:0.603990:0.138775:0.603990:0.122386:0.580587:0.122386:0.000000:0.000000:0.000000
b) :@0.552098:0.162494:0.572129:0.162494:0.572129:0.145593:0.552098:0.145593:0.000000:0.000000:0.000000
30°:@0.580587:0.162494:0.603990:0.162494:0.603990:0.146105:0.580587:0.146105:0.000000:0.000000:0.000000
c) :@0.763408:0.138775:0.781043:0.138775:0.781043:0.121874:0.763408:0.121874:0.000000:0.000000:0.000000
40°:@0.791897:0.138775:0.815300:0.138775:0.815300:0.122386:0.791897:0.122386:0.000000:0.000000:0.000000
d) :@0.763408:0.162494:0.783475:0.162494:0.783475:0.145593:0.763408:0.145593:0.000000:0.000000:0.000000
70°:@0.791897:0.162494:0.815300:0.162494:0.815300:0.146105:0.791897:0.146105:0.000000:0.000000:0.000000
11.:@0.523590:0.278876:0.547694:0.278876:0.547694:0.261975:0.523590:0.261975:0.000000:0.000000:0.000000
 En  el triángulo ABCse  tiene: :@0.547694:0.278876:0.769701:0.278876:0.769701:0.262487:0.547694:0.262487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m A:@0.772787:0.278876:0.811467:0.278876:0.811467:0.262514:0.772787:0.262514:0.000000:0.000000:0.000000
:@0.787419:0.279747:0.801571:0.279747:0.801571:0.265211:0.787419:0.265211:0.000000
  = :@0.811467:0.278876:0.833608:0.278876:0.833608:0.262487:0.811467:0.262487:0.000000:0.000000:0.000000:0.000000
m C:@0.836703:0.278876:0.875402:0.278876:0.875402:0.262514:0.836703:0.262514:0.000000:0.000000:0.000000
:@0.851335:0.279747:0.865487:0.279747:0.865487:0.265211:0.851335:0.265211:0.000000
  = 20°; :@0.875402:0.278876:0.931283:0.278876:0.931283:0.262487:0.875402:0.262487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m BDC:@0.552079:0.295472:0.611158:0.295472:0.611158:0.279111:0.552079:0.279111:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.566711:0.296343:0.580863:0.296343:0.580863:0.281808:0.566711:0.281808:0.000000
 = 80°.:@0.611158:0.295472:0.656822:0.295472:0.656822:0.279083:0.611158:0.279083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.523590:0.315637:0.527626:0.315637:0.527626:0.299248:0.523590:0.299248:0.000000
AD:@0.552079:0.315637:0.573511:0.315637:0.573511:0.299275:0.552079:0.299275:0.000000:0.000000
 = 3:@0.573511:0.315637:0.601558:0.315637:0.601558:0.299248:0.573511:0.299248:0.000000:0.000000:0.000000:0.000000
cm BC:@0.601558:0.315637:0.649856:0.315637:0.649856:0.299275:0.601558:0.299275:0.000000:0.000000:0.000000:0.000000:0.000000
; :@0.623855:0.315637:0.631097:0.315637:0.631097:0.299248:0.623855:0.299248:0.000000:0.000000
 = 5:@0.649856:0.315637:0.677903:0.315637:0.677903:0.299248:0.649856:0.299248:0.000000:0.000000:0.000000:0.000000
cm:@0.677903:0.315637:0.700201:0.315637:0.700201:0.299275:0.677903:0.299275:0.000000:0.000000
 :@0.523590:0.335801:0.527626:0.335801:0.527626:0.319412:0.523590:0.319412:0.000000
Halla:@0.552079:0.335801:0.592657:0.335801:0.592657:0.318901:0.552079:0.318901:0.000000:0.000000:0.000000:0.000000:0.000000
 la medida del segmento :@0.592657:0.335801:0.779252:0.335801:0.779252:0.319412:0.592657:0.319412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AC:@0.779252:0.335801:0.798748:0.335801:0.798748:0.319440:0.779252:0.319440:0.000000:0.000000
.:@0.798752:0.335801:0.801958:0.335801:0.801958:0.319412:0.798752:0.319412:0.000000
Coevaluación:@0.554604:0.455511:0.671884:0.455511:0.671884:0.437074:0.554604:0.437074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12. Trabajen:@0.523617:0.480392:0.621781:0.480392:0.621781:0.463491:0.523617:0.463491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.547720:0.480392:0.551756:0.480392:0.551756:0.464003:0.547720:0.464003:0.000000
 en parejas. :@0.621781:0.480392:0.732144:0.480392:0.732144:0.464003:0.621781:0.464003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibujen:@0.744417:0.480392:0.808066:0.480392:0.808066:0.463491:0.744417:0.463491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un triángulo :@0.808066:0.480392:0.931255:0.480392:0.931255:0.464003:0.808066:0.464003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquiera, :@0.552106:0.496988:0.635989:0.496988:0.635989:0.480600:0.552106:0.480600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demuestren:@0.638827:0.496988:0.735257:0.496988:0.735257:0.480088:0.638827:0.480088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que la distancia entre el :@0.735257:0.496988:0.931290:0.496988:0.931290:0.480600:0.735257:0.480600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
baricentro y su vértice correspondiente es el doble :@0.552106:0.513585:0.931308:0.513585:0.931308:0.497196:0.552106:0.497196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la distancia entre el baricentro y el lado opuesto. :@0.552106:0.530181:0.931288:0.530181:0.931288:0.513792:0.552106:0.513792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es decir, la distancia del baricentro a cada vértice es :@0.552106:0.546778:0.931327:0.546778:0.931327:0.530389:0.552106:0.530389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 2/3 la longitud de cada mediana.:@0.552106:0.563374:0.816486:0.563374:0.816486:0.546985:0.552106:0.546985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expreso mis emociones:@0.523617:0.596567:0.709276:0.596567:0.709276:0.579666:0.523617:0.579666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13.:@0.523617:0.620286:0.547720:0.620286:0.547720:0.603385:0.523617:0.603385:0.000000:0.000000:0.000000
 Si ves a un  compañero con problemas  de :@0.547720:0.620286:0.931329:0.620286:0.931329:0.603897:0.547720:0.603897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sociabilidad, ¿te acercarías a él para integrarlo a tu :@0.552106:0.636882:0.931314:0.636882:0.931314:0.620493:0.552106:0.620493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
círculo de amigos? :@0.552106:0.653478:0.693225:0.653478:0.693225:0.637089:0.552106:0.637089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Explica tu:@0.693225:0.653478:0.770455:0.653478:0.770455:0.636578:0.693225:0.636578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 respuesta.:@0.770455:0.653478:0.848570:0.653478:0.848570:0.637089:0.770455:0.637089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8. Resuelve:@0.095175:0.093932:0.194756:0.093932:0.194756:0.077031:0.095175:0.077031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.109401:0.093932:0.113437:0.093932:0.113437:0.077543:0.109401:0.077543:0.000000
 el siguiente problema.:@0.194756:0.093932:0.362316:0.093932:0.362316:0.077543:0.194756:0.077543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un grupo de estudiantes quiere hacer 14 carteles :@0.123664:0.117651:0.502810:0.117651:0.502810:0.101262:0.123664:0.101262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de forma triangular, tal como se muestra en la figu­:@0.123664:0.134247:0.498850:0.134247:0.498850:0.117858:0.123664:0.117858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ra, para colocarlos en diferentes partes del colegio. :@0.123664:0.150843:0.502810:0.150843:0.502810:0.134455:0.123664:0.134455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se los refuerza con palitos de madera, ¿cuántos :@0.123664:0.167440:0.502882:0.167440:0.502882:0.151051:0.123664:0.151051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metros de madera y cuántos metros de cartulina :@0.123664:0.184036:0.502847:0.184036:0.502847:0.167647:0.123664:0.167647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son necesarios?:@0.123664:0.200633:0.238577:0.200633:0.238577:0.184244:0.123664:0.184244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_________________________________________________:@0.123664:0.328617:0.494696:0.328617:0.494696:0.313718:0.123664:0.313718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_________________________________________________:@0.123664:0.349991:0.494696:0.349991:0.494696:0.335092:0.123664:0.335092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9. Halla:@0.095172:0.387017:0.164240:0.387017:0.164240:0.370117:0.095172:0.370117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.109398:0.387017:0.113434:0.387017:0.113434:0.370628:0.109398:0.370628:0.000000
 el valor del ángulo x.:@0.164240:0.387017:0.318848:0.387017:0.318848:0.370628:0.164240:0.370628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.123662:0.414305:0.142384:0.414306:0.142384:0.397405:0.123662:0.397404:0.000000:0.000000:0.000000
 :@0.152151:0.414306:0.156187:0.414306:0.156187:0.397917:0.152151:0.397917:0.000000
b) :@0.123662:0.544947:0.143693:0.544947:0.143693:0.528046:0.123662:0.528046:0.000000:0.000000:0.000000
 :@0.152151:0.544947:0.156187:0.544947:0.156187:0.528558:0.152151:0.528558:0.000000
:@0.233362:0.247008:0.268387:0.247008:0.268387:0.234793:0.233362:0.234793:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.342175:0.247008:0.377200:0.247008:0.377200:0.234793:0.342175:0.234793:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.286149:0.304610:0.321174:0.304610:0.321174:0.292395:0.286149:0.292395:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.307526:0.289537:0.352558:0.289537:0.352558:0.277322:0.307526:0.277322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.795113:0.248635:0.803749:0.248635:0.803749:0.234972:0.795113:0.234972:0.000000
:@0.726046:0.206187:0.733359:0.206187:0.733359:0.192525:0.726046:0.192525:0.000000
:@0.691785:0.211489:0.698647:0.211489:0.698647:0.197826:0.691785:0.197826:0.000000
:@0.608218:0.249441:0.617056:0.249441:0.617056:0.235778:0.608218:0.235778:0.000000
:@0.660699:0.179983:0.668774:0.179983:0.668774:0.166320:0.660699:0.166320:0.000000
:@0.662468:0.209250:0.683379:0.209250:0.683379:0.195576:0.662468:0.195576:0.000000:0.000000:0.000000
:@0.732624:0.238233:0.753535:0.238233:0.753535:0.224559:0.732624:0.224559:0.000000:0.000000:0.000000
:@0.809190:0.418909:0.818926:0.418909:0.818926:0.403505:0.809190:0.403505:0.000000
:@0.694539:0.367367:0.705889:0.367367:0.705889:0.351963:0.694539:0.351963:0.000000
:@0.612586:0.353556:0.622549:0.353556:0.622549:0.338153:0.612586:0.338153:0.000000
:@0.673595:0.417895:0.682699:0.417895:0.682699:0.402491:0.673595:0.402491:0.000000
Se necesitan 21 m de madera y 1,5155 m  de :@0.128999:0.329246:0.431182:0.329246:0.431182:0.314347:0.128999:0.314347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.401841:0.323748:0.406607:0.323748:0.406607:0.315062:0.401841:0.315062:0.000000
cartulina.:@0.129003:0.349362:0.190082:0.349362:0.190082:0.334463:0.129003:0.334463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 cm:@0.808547:0.333696:0.841583:0.333696:0.841583:0.318797:0.808547:0.318797:0.000000:0.000000:0.000000:0.000000
95°:@0.447650:0.459326:0.468926:0.459326:0.468926:0.444427:0.447650:0.444427:0.000000:0.000000:0.000000
93,4°:@0.440530:0.626836:0.472896:0.626836:0.472896:0.611937:0.440530:0.611937:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000