﻿113:@0.942817:0.964671:0.976116:0.964671:0.976116:0.945025:0.942817:0.945025:0.000000:0.000000:0.000000
Competencia digital:@0.142133:0.095018:0.412675:0.095018:0.412675:0.066978:0.142133:0.066978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazo de cuadriláteros y triángulos con GeoGebra :@0.096359:0.171369:0.650867:0.171369:0.650867:0.148002:0.096359:0.148002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para obtener cuadriláteros ubicados en el plano cartesiano, usaremos el :@0.096359:0.199306:0.768148:0.199306:0.768148:0.179363:0.096359:0.179363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
software:@0.768148:0.199306:0.845239:0.199306:0.845239:0.179715:0.768148:0.179715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.845239:0.199306:0.850375:0.199306:0.850375:0.179363:0.845239:0.179363:0.000000
matemático interactivo GeoGebra que puedes descargar del enlace:  :@0.096359:0.220429:0.742208:0.220429:0.742208:0.200485:0.096359:0.200485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
https://geogebra.org/:@0.096359:0.241551:0.299062:0.241551:0.299062:0.220376:0.096359:0.220376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Da:@0.104110:0.274464:0.148472:0.274464:0.148472:0.254490:0.104110:0.254490:0.000000:0.000000:0.000000:0.000000:0.000000
 clic en :@0.148472:0.274464:0.213611:0.274464:0.213611:0.255945:0.148472:0.255945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Vista Gráfica :@0.213611:0.274464:0.320909:0.274464:0.320909:0.256272:0.213611:0.256272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.320909:0.274464:0.335261:0.274464:0.335261:0.255945:0.320909:0.255945:0.000000:0.000000
selecciona:@0.335261:0.274464:0.433154:0.274464:0.433154:0.254490:0.335261:0.254490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la :@0.433154:0.274464:0.457197:0.274464:0.457197:0.255945:0.433154:0.255945:0.000000:0.000000:0.000000:0.000000
cuadrícula.:@0.122535:0.294078:0.216246:0.294078:0.216246:0.275559:0.122535:0.275559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. Selecciona:@0.507751:0.274464:0.626420:0.274464:0.626420:0.254490:0.507751:0.254490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el ícono :@0.626420:0.274464:0.705017:0.274464:0.705017:0.255945:0.626420:0.255945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elige:@0.705017:0.274464:0.743760:0.274464:0.743760:0.256272:0.705017:0.256272:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.743760:0.274464:0.762882:0.274464:0.762882:0.255945:0.743760:0.255945:0.000000:0.000000:0.000000
desplaza:@0.762882:0.274464:0.846118:0.274464:0.846118:0.254490:0.762882:0.254490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.846118:0.274464:0.850887:0.274464:0.850887:0.255945:0.846118:0.255945:0.000000
el plano hasta que te quede solo el :@0.526175:0.294078:0.834118:0.294078:0.834118:0.275559:0.526175:0.275559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semiplano cartesiano.:@0.526175:0.313692:0.714769:0.313692:0.714769:0.295173:0.526175:0.295173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. Selecciona:@0.104110:0.490205:0.222779:0.490205:0.222779:0.470232:0.104110:0.470232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el ícono :@0.222779:0.490205:0.301376:0.490205:0.301376:0.471687:0.222779:0.471687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Punto:@0.301376:0.490205:0.350856:0.490205:0.350856:0.472013:0.301376:0.472013:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.350856:0.490205:0.369978:0.490205:0.369978:0.471687:0.350856:0.471687:0.000000:0.000000:0.000000
ubica:@0.369978:0.490205:0.421526:0.490205:0.421526:0.470232:0.369978:0.470232:0.000000:0.000000:0.000000:0.000000:0.000000
 los :@0.421526:0.490205:0.455391:0.490205:0.455391:0.471687:0.421526:0.471687:0.000000:0.000000:0.000000:0.000000:0.000000
vértices necesarios para obtener un :@0.122535:0.509819:0.435547:0.509819:0.435547:0.491300:0.122535:0.491300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinado cuadrilátero.:@0.122534:0.529433:0.347805:0.529433:0.347805:0.510914:0.122534:0.510914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. Observa:@0.507751:0.490205:0.604794:0.490205:0.604794:0.470232:0.507751:0.470232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que en el lado izquierdo se :@0.604794:0.490205:0.847400:0.490205:0.847400:0.471687:0.604794:0.471687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escriben los pares ordenados de acuerdo :@0.526175:0.509819:0.886727:0.509819:0.886727:0.491300:0.526175:0.491300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la ubicación que escogiste.:@0.526175:0.529433:0.796982:0.529433:0.796982:0.510914:0.526175:0.510914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. Escoge:@0.104110:0.722490:0.188479:0.722490:0.188479:0.702517:0.104110:0.702517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 dentro del ícono :@0.188479:0.722490:0.342276:0.722490:0.342276:0.703972:0.188479:0.703972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recta:@0.342276:0.722490:0.388445:0.722490:0.388445:0.704299:0.342276:0.704299:0.000000:0.000000:0.000000:0.000000:0.000000
 la opción :@0.388445:0.722490:0.478389:0.722490:0.478389:0.703972:0.388445:0.703972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Segmento:@0.122535:0.742104:0.207491:0.742104:0.207491:0.723912:0.122535:0.723912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para graficar los lados del :@0.207491:0.742104:0.436292:0.742104:0.436292:0.723586:0.207491:0.723586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrilátero.:@0.122534:0.761718:0.229506:0.761718:0.229506:0.743199:0.122534:0.743199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. :@0.507751:0.722490:0.529072:0.722490:0.529072:0.702517:0.507751:0.702517:0.000000:0.000000:0.000000
Como puedes ver, obtuvimos un :@0.526175:0.722490:0.814559:0.722490:0.814559:0.703972:0.526175:0.703972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
romboide.:@0.526175:0.742104:0.615923:0.742104:0.615923:0.723586:0.526175:0.723586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Ahora, de acuerdo con las características :@0.507751:0.901502:0.881527:0.901502:0.881527:0.882984:0.507751:0.882984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los otros cuadriláteros y triángulos, :@0.526175:0.921116:0.857721:0.921116:0.857721:0.902598:0.526175:0.902598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ubícalos:@0.526175:0.940730:0.604685:0.940730:0.604685:0.920757:0.526175:0.920757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en el semiplano.:@0.604685:0.940730:0.750662:0.940730:0.750662:0.922211:0.604685:0.922211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000