Transitive Property of Equality Variation 2
Angle Symmetry Example 2
Collinear Points Property
Subtract Both Sides 2
Parts of Line 3

Proof: Collinear Points Property

Let's prove the following theorem:

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

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 AC = (distance AB) + (distance BC) if (distance AB) + (distance BC) = distance AC, then distance AC = (distance AB) + (distance BC)
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