Proof: Divide Distances

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	distance AB = distance BA	distance AB = distance BA (Distance Equality Property)
2	distance CD = distance DC	distance CD = distance DC (Distance Equality Property)
3	(distance AB) / (distance CD) = (distance BA) / (distance CD)	if distance AB = distance BA, then (distance AB) / (distance CD) = (distance BA) / (distance CD) (Divide Both Sides)
4	(distance AB) / (distance CD) = (distance BA) / (distance DC)	if (distance AB) / (distance CD) = (distance BA) / (distance CD) and distance CD = distance DC, then (distance AB) / (distance CD) = (distance BA) / (distance DC) (Divide Both)

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