in the given figure , AB || CD and AB=CD . Prove that ∆AOB congruent to ∆DOC .
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Given:AB||CD and AB=CD
To prove:∆ABC congruent to ∆DOC
Proof: angle OAB=angle OCD ------------ ————(alternate interior angle)——(1)
angle OBA=angle OCD--------------
————(alternate interior angle)——(2)
AB=CD ——————————(3)
Therefore,∆AOB congruent to ∆DOC (ASA criteria)
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