Question

The point A(-6, 3) is reflected over the origin and its image is point B.

What are
the coordinates of point B?

Answer 1

B(6, -3)

Explanation:

Reflection over the origin changes the signs of the coordinates.

(x, y) ⇒ (-x, -y) . . . . reflection over the origin

A(-6, 3) ⇒ B(6, -3)

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Additional comment

Reflection over the origin is fully equivalent to rotation 180° about the origin, or reflection over both the x- and y-axes (in any order).