Proof: Angle Angle Side Triangle

Let's prove the following theorem:

if m∠BCA = m∠YZX and m∠CAB = m∠ZXY and distance AB = distance XY, then △CAB ≅ △ZXY

A B C X Y Z

Proof:

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Given
1 m∠BCA = m∠YZX
2 m∠CAB = m∠ZXY
3 distance AB = distance XY
Proof Table
# Claim Reason
1 m∠ABC = m∠XYZ if m∠BCA = m∠YZX and m∠CAB = m∠ZXY, then m∠ABC = m∠XYZ
2 △CAB ≅ △ZXY if m∠CAB = m∠ZXY and distance AB = distance XY and m∠ABC = m∠XYZ, then △CAB ≅ △ZXY

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