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Mathematics, 23.10.2020 05:01 jespinozagarcia805

GEOMETRY Postulates and Proofs

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"Point C is the midpoint of segment AB and B is the midpoint of segment CD. Prove that segment AC is congruent to segment BD."

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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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GEOMETRY Postulates and Proofs

Question:
"Point C is the midpoint of segment AB and...

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