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Given: WXYZ is a parallelogram; overline WY is a transversal
Prove: triangle WXY cong triangle YZW X
Statement Reason
1. WXYZ is a parallelogram overline WY is a transversal
2 overline XY cong overline WZ :; overline XW cong overline YZ
3 . angle WYX cong angle YWZ 4 overline WY cong overline WY
5. triangle WXY cong triangle YZW
Reflexive Property
Definition of a parallelogram
ASA
Alternate interior angles are
Given