Prove that opposite sides of a parallelogram are equal
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Prove that in a parallelogram opposite sides are equal
Answered by admin @
Consider a parallelogram ABCD.
AC and BD are the diagonals of the parallelogram.
Each diagonal of the parallelogram divides the parallelogram into two congruent triangles.
ΔADC ≅ ΔABC
∴ Corresponding sides of congrunt triangles are equal.
⇒CD = AB
⇒ AD = BC
Hence the opposite sides of the parallelogram are equal.
hope it helps u
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