Question

Complete the following. Assume points D, C, U, W, X, and Y are obtained by reflection in link k or j.

$R_j:\overrightarrow{ST}\to \underset{¯}{?}$

Short answer

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

Step-by-step solution

Step 1. Given Information.

W and X are obtained by reflection in line j.

Step 2. Explanation.

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.

Step 3. Conclusion.

Hence, the reflection of $\overline{ST}$ in line j is $\overline{WX}$.