Proof: If Sides Congruent Then Parallelogram 2

Let's prove the following theorem:

if distance WX = distance ZY and distance WZ = distance XY, then WXYZ is a parallelogram

Z W X Y

Proof:

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

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