Question

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

$R_k:\overrightarrow{AB}\to \underset{¯}{?}$

Short answer

$R_k:\overline{AB}\stackrel{}{\to }\overline{DC}$

Step-by-step solution

Step 1. Given Information.

The given statement is that D, C, U, W, X, and Y are obtained by reflection in line k or j.

Step 2. Explanation.

Since in the figure it is clear that neither $\overline{AB}$nor $\overline{DC}$is on the line k and the line k is perpendicular bisector of the line joining the corner of $\overline{AB}$and $\overline{DC}$that is BC.

Step 3. Conclusion.

Therefore, $\overline{AB}$is reflected in line k to $\overline{DC}$.