Question

Prove that a diagonal of a parallelogram divides the parallelogram into 2 dongruent triangle
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Answer 1

Solving......

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Answer 2

given that,

ABCD is a parallelogram then,

AB =CD (opposite angles of a parallelogram are parallel and equal)

AD=BC (opposite angles of a parallelogram are parallel and equal)

to prove,

ABD which is congruent toBDC.

construction,

draw a diagonal for B to D .

proof,

In triangle ABD and triangle BDC

AB = CD (given)

AD=BC ( given)

BD=DB(common)

hence,ABD which is congruent to BDC(by side side side congruent rule)

hence proved.