ABCD is a parallelogram. Prove that ar(triangle AOD)=ar(triangle BOC)
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Step-by-step explanation:
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The answer for the following question is given below .
Step-by-step explanation:
Given:
ABCD is a parallelogram
In,(triangle AOD) and (triangle BOC)
∠AOD = ∠BOC (Vertical opposite angle are always equal)
AD = BC (parallel and equal sides of the parallelogram )
∠AOD = ∠BOC (AD║BC , Alternate angle are always equal)
Under ASA rule
(triangle AOD) ≅ (triangle BOC)
WE know that, if two triangles are congruent then their area is also equal.
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