Proof: Sides of Rhombus Congruent 4
Let's prove the following theorem:
if WXYZ is a rhombus, then distance XY = distance YZ
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 XY = distance YZ | if distance XY = distance ZY, then distance XY = distance YZ |
Comments
Please log in to add comments