Proof: Sides of Rhombus Congruent
Let's prove the following theorem:
if WXYZ is a rhombus, then distance WZ = distance ZY
Proof:
Given
| 1 | WXYZ is a rhombus |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | distance WX = distance XY | if WXYZ is a rhombus, then distance WX = distance XY |
| 2 | WXYZ is a parallelogram | if WXYZ is a rhombus, then WXYZ is a parallelogram |
| 3 | distance WX = distance ZY | if WXYZ is a parallelogram, then distance WX = distance ZY |
| 4 | distance XY = distance ZY | if distance WX = distance XY and distance WX = distance ZY, then distance XY = distance ZY |
| 5 | distance WZ = distance XY | if WXYZ is a parallelogram, then distance WZ = distance XY |
| 6 | distance WZ = distance ZY | if distance WZ = distance XY and distance XY = distance ZY, then distance WZ = distance ZY |
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