Unequal Angles Theorem
if m∠ZXY > m∠XYZ, then distance ZY > distance ZX
This is a proof by contradiction
Given(s)
Contradiction 1
Proof Table
# | Claim | Reason |
---|---|---|
1 | m∠ZXY = m∠XYZ | if distance ZY = distance ZX, then m∠ZXY = m∠XYZ |
Contradiction 2
Proof Table
# | Claim | Reason |
---|---|---|
1 | m∠ZXY < m∠XYZ | if distance ZY < distance ZX, then m∠ZXY < m∠XYZ |
Conclusion
distance ZY > distance ZX
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