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Mathematics, 26.06.2019 02:50 Nenelovezero1359

Quadrilateral abcd is a parallelogram if both pairs of opposite sides are congruent. prove that quadrilateral abcd is a parallelogram by finding the lengths (in centimeters) of the opposite side pairs?

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Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.
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