Question

use the figure shown.
what reflections map the figure onto itself?
a. ( r_m ) only
b. ( r_n ) only
c. ( r_m ) and ( r_n )
d. none

Explanation:

A reflection that maps a figure onto itself means the figure is symmetric about the line of reflection. Here, the figure is symmetric about both line \(m\) (vertical line) and line \(n\) (horizontal line). When we reflect the figure over line \(m\), each point on one side of \(m\) has a corresponding point on the other side such that the figure remains unchanged. Similarly, for reflection over line \(n\), the figure also maps onto itself.

Answer:

C. \(r_m\) and \(r_n\)