QUESTION IMAGE
Question
complete the proof that $overleftrightarrow{su}paralleloverleftrightarrow{vx}$. 1. $angle tw vcongangle utw$ given 2. $angle rtscongangle utw$ vertical angle theorem 3. $angle tw vcongangle rts$ transitive property of congruence 4. $overleftrightarrow{su}paralleloverleftrightarrow{vx}$
Step1: Recall parallel - line theorem
If corresponding angles are congruent, then the lines are parallel. $\angle TW V$ and $\angle RTS$ are corresponding angles for lines $\overleftrightarrow{SU}$ and $\overleftrightarrow{VX}$.
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Corresponding Angles Converse