Question

Point AA is located at (-2,6) on the coordinate plane. Point A is reflected over the x-axis to create point A'. Point A' is then reflected over the y-axis to create point A''. What ordered pair describes the location of A''?

a) (−2,−6)
b) (2,6)
c) (2,−6)
d) (−2,6)

Answer 1

After reflecting Point A over the x-axis and then over the y-axis, the location of Point A'' is (2, -6), which is option c.

Step-by-step explanation:

To determine the location of point A'' after the reflections, let's go through the process step-by-step.

Point AA is located at (-2,6) on the coordinate plane. Reflecting Point A over the x-axis inverts the y-coordinate while keeping the x-coordinate the same, creating Point A' at (-2,-6). Then, reflecting Point A' over the y-axis inverts the x-coordinate while keeping the y-coordinate the same, resulting in Point A'' at (2,-6).

Therefore, the ordered pair that describes the location of A'' is (2, -6), which corresponds to option c) (2, -6).