prove that the opposite sides and angles of a parallelogram are equal
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Sol: 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.
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Answer:
by using congruence property ASA that is angle side angle by using a diagonal between parallelogram
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