Proof: Isosceles Triangle 2

Let's prove the following theorem:

if distance ZX = distance ZY, then m∠ZXY = m∠ZYX

X Y Z

Proof:

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Given
1 distance ZX = distance ZY
Proof Table
# Claim Reason
1 distance XZ = distance YZ if distance ZX = distance ZY, then distance XZ = distance YZ
2 m∠YXZ = m∠XYZ if distance XZ = distance YZ, then m∠YXZ = m∠XYZ
3 m∠ZXY = m∠ZYX if m∠YXZ = m∠XYZ, then m∠ZXY = m∠ZYX

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