Question

polygon abcd is reflected across line l to form a_lb_lc_ld_l. what is the relationship between line l and \overline{cc_l}?

line l is parallel to \overline{cc_l}.

\overline{cc_l} and line l are coincident.

line l is the perpendicular bisector of \overline{cc_l}.

\overline{cc_l} is the perpendicular bisector of line l.

Explanation:

Step1: Recall the property of reflection

When a figure is reflected across a line, the line of reflection is the perpendicular bisector of the segment joining a point and its image.

Step2: Apply the property to the problem

Here, point \(C\) is reflected across line \(L\) to get point \(C_{L}\). So, line \(L\) is the perpendicular bisector of \(\overline{CC_{L}}\).

Answer:

Line \(L\) is the perpendicular bisector of \(\overline{CC_{L}}\).