Chapter 14.2, Problem 11CE

To determine

$\overline{XY}$ is the reflection of which line segment with respect to the line j

Answer to Problem 11CE

Reflection of line $\overline{TU}$ in the line j is, $R_j(\overline{TU})=\overline{XY}$

Explanation of Solution

Given information: X and Y are obtained by the reflection in the line j

HereX is the reflection of T and Y is the reflection of U . As A reflection in a line is isometry and in this case $\overline{XY}$ is isometric to $\overline{TU}$ with respect to the line $j$ .

Therefore,

$\overline{XY}$ is reflection $\overline{TU}$ in the line $j$ .