The image of the point (1, -2) after a rotation of 180° about the origin is
make a sketch to see that
(1,-2) ----> (-1, 2)
To find the image of a point after a rotation of 180° about the origin, we can use a simple formula:
(x', y') = (-x, -y)
Where (x, y) is the original point, and (x', y') is the image after the rotation.
Applying this formula to the point (1, -2), we have:
x' = -1
y' = -(-2) = 2
Therefore, the image of the point (1, -2) after a rotation of 180° about the origin is (-1, 2).