Question

A figure was transformed on a coordinate grid using the rule (x, y) → (-x,-y). Which of the following describes this transformation?

A reflection across the x-axis

A reflection across the y-axis

A 90° clockwise rotation about the origin

A 180° clockwise rotation about the origin

Answer 1

The transformation given by the rule \((x, y) \rightarrow (-x, -y)\) describes a 180° rotation about the origin.

This is because when you rotate a point 180° around the origin, both the x and y coordinates change signs.

So the correct answer is:

**A 180° clockwise rotation about the origin.**