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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 3 years, 10 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Gaurav Seth 3 years, 10 months 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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