Question

complete the proof that $overleftrightarrow{su}paralleloverleftrightarrow{vx}$. statement 1. $angle stwcongangle twx$ reason given 2. $angle rtucongangle stw$ 3. $angle twxcongangle rtu$ 4. $overleftrightarrow{su}paralleloverleftrightarrow{vx}$ converse of corresponding angles theorem

Explanation:

Step1: Recall transitive - property of congruence

If $\angle STW\cong\angle TWX$ (given) and $\angle RTU\cong\angle STW$ (given), by the transitive property of congruence, if $a = b$ and $b = c$, then $a = c$. Here, $a=\angle RTU$, $b = \angle STW$ and $c=\angle TWX$. So $\angle TWX\cong\angle RTU$.

Answer:

1. Transitive Property of Congruence