Question

Point F is the image when point f is reflected over the line x=-2 and then over the line y=3. The location of F is (5, 7). which of the following is the location of point F?

A.) (-5,-7)
B.) (-9.-1)
C.) (-1,-3)
D.) (-1,13)

Answer 1

To find the location of point F after reflecting point f over the line x = -2 and then over the line y = 3, we can perform the reflections one by one.

First, reflecting over the line x = -2 will change the x-coordinate of point F to its opposite. Since the x-coordinate of point F is 5, the reflected x-coordinate will be -5.

Next, reflecting over the line y = 3 will change the y-coordinate of the reflected point F to its opposite. Since the y-coordinate of the reflected point F is 7, the final y-coordinate will be -7.

Therefore, the location of point F after the given reflections is (-5, -7), which corresponds to option A. So, the correct answer is A.) (-5, -7).