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Parallelograms And Triangles

Theorem 10.1.2

Math

Theorem: If two opposite sides of a quadrilateral are congruent and parallel, it is a parallelogram

Given: In a quadrilateral ABCD,
ABCD\overline{AB}\cong\overline{CD} and ABCD\overline{AB}||\overline{CD}

To Prove: Quadrilateral ABCD is m||^m

Construction: Join B and D.

Proof: