In Exercises 2730, use the definition of a parallelogram to
Complete each proof.
Given:
Prove: WXYZ is a parallelogram
PROOF  
Statements  Reasons 
1.

1.? 
2.?  2.Given 
3.?  3.If two lines are cut by a transversal so that int.

4.?  4.If both pairs of opposite side of a quadrilateral are

To prove:
The quadrilateral WXYZ is a parallelogram.
Given:
In the parallelogram WXYZ,
PROOF  
Statements  Reasons 
1. 
1.? 
2.?  2.Given 
3.?  3.If two lines are cut by a transversal so that interior 
4.?  4.If both pairs of opposite side of a quadrilateral are 
Corollary:
1. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.
2. Two consecutive angles of a parallelogram are supplementary.
From the given quadrilateral WXYZ,
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