Hi Paul,

Since opposite sides of a parallelogram are congruent, then AB≅CD and BC≅AD and the diagonal AC is congruent to itself, so the triangles ABC and ACD are congruent by SSS congruency theorem.

Paul F.

asked • 03/23/15 Explain: why triangles ABC and ACD are congruent in a parallelogramn.

The parallelogramm is ABCD

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Hi Paul,

Since opposite sides of a parallelogram are congruent, then AB≅CD and BC≅AD and the diagonal AC is congruent to itself, so the triangles ABC and ACD are congruent by SSS congruency theorem.

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