Proof: Angles of an Equilateral Triangle
Let's prove the following theorem:
if △XYZ is an equilateral triangle, then m∠XYZ = m∠YXZ
Proof:
Given
| 1 | △XYZ is an equilateral triangle |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | distance XZ = distance YZ | if △XYZ is an equilateral triangle, then distance XZ = distance YZ |
| 2 | m∠XYZ = m∠YXZ | if distance XZ = distance YZ, then m∠XYZ = m∠YXZ |
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