Proof: Square is Equilateral 2
Let's prove the following theorem:
if WXYZ is a square, then distance ZW = distance WX
Proof:
Given
| 1 | WXYZ is a square |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | WXYZ is a rectangle | if WXYZ is a square, then WXYZ is a rectangle |
| 2 | WXYZ is a parallelogram | if WXYZ is a rectangle, then WXYZ is a parallelogram |
| 3 | distance WX = distance XY | if WXYZ is a square, then distance WX = distance XY |
| 4 | distance WZ = distance XY | if WXYZ is a parallelogram, then distance WZ = distance XY |
| 5 | distance WX = distance WZ | if distance WX = distance XY and distance WZ = distance XY, then distance WX = distance WZ |
| 6 | distance ZW = distance WX | if distance WX = distance WZ, then distance ZW = distance WX |
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