Proof: Sides of Rhombus Congruent 3
Let's prove the following theorem:
if WXYZ is a rhombus, then distance ZW = distance WX
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 WZ = distance XY | if WXYZ is a parallelogram, then distance WZ = distance XY |
| 4 | distance WZ = distance WX | if distance WZ = distance XY and distance WX = distance XY, then distance WZ = distance WX |
| 5 | distance ZW = distance WX | if distance WZ = distance WX, then distance ZW = distance WX |
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