Question

If point A, shown on the coordinate plane below, is reflected over both axes to create A’, what will be the coordinates of A’?

(-6, 3)
(-6, -3)
(6, -3)
(6, 3)

Answer 1

(c) (6, -3)

Explanation:

Reflection over both axes is the same as reflection across the origin, or rotation 180° about the origin. It has the effect of negating both coordinates:

(x, y) ⇒ (-x, -y) . . . . . reflection over both axes

The coordinates of A are (-6, 3), so the coordinates of A' will be ...

A(-6, 3) ⇒ A'(6, -3)