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Prove that a diagonal of a …

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Prove that a diagonal of a parallelogram divides it into congruent triangle theorm

Posted by Nitin Kumar Jain 5 years ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years ago

Given: A parallelogram ABCD and AC is its diagonal .

To prove : △ABC ≅ △CDA

Proof : In △ABC and △CDA, we have

∠DAC = ∠BCA [alt. int. angles, since AD | | BC]

AC = AC [common side]

and ∠BAC = ∠DAC [alt. int. angles, since AB | | DC]

∴ By ASA congruence axiom, we have

△ABC ≅ △CDA

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CBSE > Class 09 > Mathematics