Proof: If Congruent And Parallel Then Parallelogram

Let's prove the following theorem:

if WX || ZY and distance WX = distance YZ, then WXYZ is a parallelogram

Z W X Y

Proof:

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Given
1 WX || ZY
2 distance WX = distance YZ
Proof Table
# Claim Reason
1 WZ || XY if distance WX = distance YZ and WX || ZY, then WZ || XY
2 WXYZ is a parallelogram if WX || ZY and WZ || XY, then WXYZ is a parallelogram

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