Chapter 14.2, Problem 10CE

To determine

To find: Reflection of $\overline{ST}$ in the line j

Answer to Problem 10CE

Reflection of $\overline{ST}$ in the line jis , $R_j:\overline{ST}\to \overline{WX}$

Explanation of Solution

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

The reflection of S in line j is W and reflection of T in line j is X. Now using Theorem 14-2 which states that A reflection in a line is isometry. Therefore, we will get a similar but inverted image.

Hence,

Reflection of $\overline{ST}$ in line j is $\overline{WX}$ .