Proof for Theorem
Prove: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram.
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Statements
 
Reasons
1.
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Given
2.
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Reflexive property
3.
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3.
SSS - If 3 angles of 1 Δ are congruent to the corres. parts of another Δ, the Δs are congruent.
4.
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CPCTC - Corres. parts of congruent triangles are congruent.
5.
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5.
If 2 lines are cut by a trans. and the alternate interior angles are congruent, the lines are parallel.
6.
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6.
Def: A parallelogram is a quad. with 2 pair of opposite sides parallel.

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