Question

सिद्ध कीजिए कि "समान्तर चतुर्भुज का विकर्ण उसे दो सर्वांगसम त्रिभुजों में विभाजित करता
Prove that a diagonal of a Parallelogram divides it into two congruent triangles.
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6
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Answer 1

yes it divides into 2triangles

Answer 2

$\huge\rm\underline\purple{Answer:-}$

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.