Chapter 11.2, Problem 25HP

To determine

To find:whether Jade is correct or Fernando

Answer to Problem 25HP

Fernando is correct.

Explanation of Solution

Given information:

According to Jade, $\angle YXZ\cong \angle STR$

According to Fernando, $\overline{ST}\cong \overline{ZY}$

Calculation:

  

Here,

  $\begin{array}{l}\overline{ST}=\overline{ZY}\\ \overline{SR}=\overline{XY}\\ \overline{TR}=\overline{XZ}\end{array}$

  $\begin{array}{l}\angle YXZ=\angle SRT\\ \angle XYZ=\angle TSR\\ \angle YZX=\angle STR\end{array}$

Thus $\Delta RST\cong \Delta XYZ$ . Therefore $\angle YXZ$ and $\angle STR$ are not congruent but $ST\cong ZY$ .

So, Fernando is correct.