Question

Finding Image Points
On a coordinate plane, triangle A B C has points (1, negative 2), (4, negative 2), (3, 1).

The image of triangle ABC after a 180° rotation around the origin is:

A′(−1, 2)

B′(−4, 2)

Answer 1

A 180° rotation about the origin sends (x,y) to (−x,−y).
So C(3,1) → C′(−3,−1).

Thus the image vertices are A′(−1,2), B′(−4,2), C′(−3,−1).