Given a parallelogram ABCD. Prove that $A D = B C$

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Solution

Given a parallelogram $A B C D,$ we have to prove that $A D = B C .$
We have the opposite sides of a parallelogram are congruent.
Let $A C$ and $B D$ be two diagonals, then $△ A B D ≅ △ B C D$
We have $A D ≅ B C$ and $A B ≅ D C$
Hence, the answer is $A D = B C .$

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