Proof: If Parallelogram Then Sides Congruent B

Let's prove the following theorem:

if WXYZ is a parallelogram, then distance WX = distance YZ

Z W X Y

Proof:

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Given
1 WXYZ is a parallelogram
Proof Table
# Claim Reason
1 △ZWY ≅ △XYW if WXYZ is a parallelogram, then △ZWY ≅ △XYW
2 distance YZ = distance WX if △ZWY ≅ △XYW, then distance YZ = distance WX
3 distance WX = distance YZ if distance YZ = distance WX, then distance WX = distance YZ

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