Proof: Collinear Points Property 2

Let's prove the following theorem:

if m∠ABC = 180, then (distance AB) + (distance CB) = distance AC

A B C

Proof:

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Given
1 m∠ABC = 180
Proof Table
# 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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