Chapter 5, Problem 26RP

To determine

Prove that $RWXY$ is a isosceles trapezoid.

Answer to Problem 26RP

Proved, $RWXY$ is isosceles trapezoid.

Explanation of Solution

Given information:

  

  $\Delta TWX$ is isosceles with base $\overline{WX}.\overline{RY}\left|\right|\overline{WX}$

Calculation:

Consider the given figure,

  

It is given that,

  $\overline{RY}\left|\right|\overline{WX}$ and $\Delta TWX$ is isosceles with base $\overline{WX}$ .

  $\angle W\cong \angle X$

The base angles of isosceles triangles are congruent, Hence, proved $RWXY$ is isosceles trapezoid.