Question

ABCD is a parallelogram AC is its diagonals prove that AC divides parallelogram ABCD into two congruent triangles

Answer 1

in pic this is proved that AC divides the parallelogram in two equal triangle

I hope it will help u .....

Answer 2

Statement : A diagonal of a parallelogram divides it into two congruent triangles.

Given : A parallelogram ABCD.

To prove : ΔBAC ≅ ΔDCA

Construction : Draw a diagonal AC.

Proof :

In ΔBAC and ΔDCA,

∠1 = ∠2 [alternate interior angles]
∠3 = ∠4 [alternate interior angles]
AC = AC [common]

ΔBAC ≅ ΔDCA [ASA]

Hence, it is proved.