Proof: Collinear Points Property
Let's prove the following theorem:
if m∠ABC = 180, then distance AC = (distance AB) + (distance BC)
Proof:
Given
1 | m∠ABC = 180 |
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# | Claim | Reason |
---|---|---|
1 | (distance AB) + (distance BC) = distance AC | if m∠ABC = 180, then (distance AB) + (distance BC) = distance AC |
2 | distance AC = (distance AB) + (distance BC) | if (distance AB) + (distance BC) = distance AC, then distance AC = (distance AB) + (distance BC) |
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