Proof: Lengths Unequal Then Angles Flipped 2

Let's prove the following theorem:

if distance YZ < distance YX, then m∠YXZ < m∠XZY

X Y Z

Proof:

View as a tree | View dependent proofs | Try proving it

Given
1 distance YZ < distance YX
Proof Table
# Claim Reason
1 distance YX = distance XY distance YX = distance XY
2 distance YZ < distance XY if distance YZ < distance YX and distance YX = distance XY, then distance YZ < distance XY
3 m∠YXZ < m∠XZY if distance YZ < distance XY, then m∠YXZ < m∠XZY

Comments

Please log in to add comments