Question

Show that the diagonal of a parallogram divides into two congruent triangle ​

Answer 1

given :a ||gm ABCD

& it's diagonal AC

to prove : diagonal AC divides ||gm into two∆'s

=>∆ADC is congruent to ∆ABC

proof :in ∆ADC and ∆ABC

AD=BC(opposite sides of parallelogram )

AB=CD(opposite sides of parallelogram)

AC=AC

therefore ,∆ ADC =~ ∆ABC

Hence proved ,that diagonal divide a ||gm into two congruent triangles.