Proof: Lengths Unequal Then Angles Flipped
Let's prove the following theorem:
if distance YZ < distance XY, then m∠YXZ < m∠XZY
Proof:
Proof Table
# | Claim | Reason |
---|---|---|
1 | distance XY > distance YZ | if distance YZ < distance XY, then distance XY > distance YZ |
2 | m∠XZY > m∠YXZ | if distance XY > distance YZ, then m∠XZY > m∠YXZ |
3 | m∠YXZ < m∠XZY | if m∠XZY > m∠YXZ, then m∠YXZ < m∠XZY |
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