Question

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

$R_j\left(\underset{¯}{?}\right)=\overrightarrow{XY}$

Short answer

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

Step-by-step solution

Step 1. Given Information.

X and Y are obtained by the reflection in the line j

Step 2. Explanation.

Here X 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 $j$.

Step 3. Conclusion.

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