Proof: Diagonal Bisects Rhombus 2
Let's prove the following theorem:
if WXYZ is a rhombus, then m∠XYW = m∠ZYW
Proof:
Proof Table
| # | Claim | Reason |
|---|---|---|
| 1 | △PWX ≅ △PYZ | if WXYZ is a rhombus and m∠WPY = 180 and m∠XPZ = 180, then △PWX ≅ △PYZ |
| 2 | distance XP = distance ZP | if △PWX ≅ △PYZ, then distance XP = distance ZP |
| 3 | distance PY = distance PY | distance PY = distance PY |
| 4 | distance XY = distance YZ | if WXYZ is a rhombus, then distance XY = distance YZ |
| 5 | distance YX = distance YZ | if distance XY = distance YZ, then distance YX = distance YZ |
| 6 | △PYX ≅ △PYZ | if distance PY = distance PY and distance YX = distance YZ and distance XP = distance ZP, then △PYX ≅ △PYZ |
| 7 | m∠PYX = m∠PYZ | if △PYX ≅ △PYZ, then m∠PYX = m∠PYZ |
| 8 | m∠XYP = m∠ZYP | if m∠PYX = m∠PYZ, then m∠XYP = m∠ZYP |
| 9 | m∠XYW = m∠ZYW | if m∠WPY = 180 and m∠XYP = m∠ZYP, then m∠XYW = m∠ZYW |
Comments
Please log in to add comments