The image of the point after the rotation is (-1, 2).
We start with the point (1, -2), which is on the fourth quadrant.
If we apply a rotation of -180°, we move two quadrants, so we end in the second quadrant, where the x-component must be negative and the y-component must be positive.
Then we only need to change the sign of both components, we will get:
(-1, 2).
The image of the point after the rotation is (-1, 2).
If you want to learn more about rotations:
https://brainly.com/question/4289712
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