Collinear Points Property
Subtract Both Sides
Parts of Line
Commutative Property Example 2
Commutative Property Variation 1
Substitution 2
Substitution 8
Parts of Line 2

Proof: Parts of Line

Let's prove the following theorem:

if m∠ABC = 180, then (distance AC) + ((distance BC) ⋅ (-1)) = distance AB

Proof:

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Given
1 m∠ABC = 180
Proof Table
# Claim Reason
1 distance AC = (distance AB) + (distance BC) if m∠ABC = 180, then distance AC = (distance AB) + (distance BC)
2 (distance AC) + ((distance BC) ⋅ (-1)) = distance AB if distance AC = (distance AB) + (distance BC), then (distance AC) + ((distance BC) ⋅ (-1)) = distance AB
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