Proof: If Parallelogram Then Sides Congruent B
Let's prove the following theorem:
if WXYZ is a parallelogram, then distance WX = distance YZ
Proof:
Given
| 1 | WXYZ is a parallelogram |
|---|
| # | 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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