Proof: Square is Equilateral 3
Let's prove the following theorem:
if WXYZ is a square, then distance YZ = distance ZW
Proof:
Given
| 1 | WXYZ is a square |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | distance WX = distance XY | if WXYZ is a square, then distance WX = distance XY |
| 2 | distance XY = distance YZ | if WXYZ is a square, then distance XY = distance YZ |
| 3 | distance WX = distance YZ | if distance WX = distance XY and distance XY = distance YZ, then distance WX = distance YZ |
| 4 | distance ZW = distance WX | if WXYZ is a square, then distance ZW = distance WX |
| 5 | distance YZ = distance ZW | if distance ZW = distance WX and distance WX = distance YZ, then distance YZ = distance ZW |
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