Question

If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?

please I really need help with this.

Answer 1

New coordinates of the point Z are (-6, 9)

Explanation:

If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,

(x, y) → (-x, -y)

Coordinates of the vertex Z → (6, -9)

Following the same rule,

Z(6, -9) → Z'(-6, 9)

Therefore, coordinates of the new (image) point will be (-6, 9).