Chaim tried to prove that AUTS ~ AUDE in the following figure, but his proof is wrong. E
D
41
т
37
S
What is the first mistake Chaim made in the proof?
Statement
Reason
1 ZSUT ZEUD Vertical angles are congruent.
2 ST | DE
Given
3 ZUST. ZUED Alternate interior angles formed by parallel lines are congruent (2).
AUTS AUDE Angle-angle similarity (1,3)
4
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