[$._("Si"), $._("No")] random() < 0.5 ? YES : NO
sortNumbers( randRangeUnique( -5, 5, 4 ) )
[ BLUE, GREEN, PINK, ORANGE ]

¿Son \overline{AB} y \overline{CD} congruentes?

init({range:[[-6,6],[-1,1]]}),style({stroke:"#999"}),line([-5,0],[5,0]);for(var x=-5;5>=x;x++)line([x,-.2],[x,.2]),label([x,-.53],String(x).replace(/-(\d)/g,"\\llap{-}$1"),"center",{color:"#999"});style({strokeWidth:3.5}),line([0,-.2],[0,.2]),style({stroke:COLORS[0],fill:COLORS[0]}),circle([POINTS[0],0],.1),style({stroke:COLORS[1],fill:COLORS[1]}),circle([POINTS[1],0],.1),style({stroke:COLORS[2],fill:COLORS[2]}),circle([POINTS[2],0],.1),style({stroke:COLORS[3],fill:COLORS[3]}),circle([POINTS[3],0],.1),label([POINTS[0],0],"A","above",{color:COLORS[0]}),label([POINTS[1],0],"B","above",{color:COLORS[1]}),label([POINTS[2],0],"C","above",{color:COLORS[2]}),label([POINTS[3],0],"D","above",{color:COLORS[3]})
SOLUTION
  • YES
  • NO

Los segmentos congruentes tienen longitudes iguales.

Encuentra las longitudes de \overline{AB} y \overline{CD}:

AB = |\color{COLORS[ 0 ]}{POINTS[ 0 ]} - \color{COLORS[ 1 ]}{POINTS[ 1 ]}| CD = |\color{COLORS[ 2 ]}{POINTS[ 2 ]} - \color{COLORS[ 3 ]}{POINTS[ 3 ]}|

AB = |POINTS[ 0 ] - POINTS[ 1 ]| CD = |POINTS[ 2 ] - POINTS[ 3 ]|

AB = POINTS[ 1 ] - POINTS[ 0 ] CD = POINTS[ 3 ] - POINTS[ 2 ]

AB = CD

Sí, \overline{AB} y \overline{CD} son congruentes.

AB \neq CD

No, \overline{AB} y \overline{CD} no son congruentes.