The diagonal of a parallelogram divides it into two congruent triangles. Options: A . &nbspTrue B . &nbspFalse C . &nbsp140∘ D . &nbsp90∘

The diagonal of a parallelogram divides it into two congruent triangles.

Question

The diagonal of a parallelogram divides it into two congruent triangles.

Options:

A . True

B . False

C . 140∘

D . 90∘

Answer: Option A
:
A

Δ A B D

and

Δ C D B

AB = CD (Opposite sides of a parallelogram)
AD = CB (Opposite sides of a parallelogram)
BD = DB (Common)
So,

Δ A B D

≅

Δ C D B

(By SSS congruence condition)

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