Proof: Collinear Points Property

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	(distance AB) + (distance BC) = distance AC	if m∠ABC = 180, then (distance AB) + (distance BC) = distance AC (Length is Sum of Parts)
2	distance AC = (distance AB) + (distance BC)	if (distance AB) + (distance BC) = distance AC, then distance AC = (distance AB) + (distance BC) (Symmetric Property of Equality)

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