heorem 8.2 : In a parallelogram, opposite sides are equal.

1.	heorem 8.2 : In a parallelogram, opposite sides are equal.
Answer» 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.

Answer»

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.

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