Question

The vertices of a figure are given. Rotate the figure as described. Find the coordinates of the image.

E(−4, 1), F(−3, 3), G(−2, 3), H(−1, 1)

180°
about the origin

Answer 1

When a figure is rotated 180° about the origin, the x-coordinates and y-coordinates of each point are multiplied by -1 to find the coordinates of the image.

The coordinates of the image of E(−4, 1) would be (4, -1).
The coordinates of the image of F(−3, 3) would be (3, -3).
The coordinates of the image of G(−2, 3) would be (2, -3).
The coordinates of the image of H(−1, 1) would be (1, -1).

Therefore, the coordinates of the image of the figure after a 180° rotation about the origin would be:
(4, -1), (3, -3), (2, -3), and (1, -1).