Proof: Collinear Points Property 2
Let's prove the following theorem:
if m∠ABC = 180, then (distance AB) + (distance CB) = distance AC
Proof:
Given
| 1 | m∠ABC = 180 |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | (distance AB) + (distance BC) = distance AC | if m∠ABC = 180, then (distance AB) + (distance BC) = distance AC |
| 2 | distance BC = distance CB | distance BC = distance CB |
| 3 | (distance AB) + (distance CB) = distance AC | if (distance AB) + (distance BC) = distance AC and distance BC = distance CB, then (distance AB) + (distance CB) = distance AC |
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