10. Provide the reasons for the following proof:Given: Line WX =~ Line XY, Line XZ bisects Angle WXYProve: Triangle WXZ =~ Triangle YXZThe last answer choice is symmetric property of =~;SASAm I correct?
Accepted Solution
A:
Given that Line WX is congruent to Line XY and Line XZ bisects Angle WXY.
We prove that triangle WXZ is congruent to triangle YXZ as follows:
[tex]\begin{tabular}
{|c|c|}
Statement&Reason\\[1ex]
\overline{WX}\cong\overline{XY},\ \overline{XZ}\ bisects\ \angle WXY&Given\\
\angle WXY\cong\angle YXZ & Deifinition of an angle bisector\\
\overline{XZ}\cong\overline{ZX}&Refrexive Property of \cong\\
\triangle WXZ\cong\triangle YXZ&SAS
\end{tabular}[/tex]