Hello there,
The <em>answer is </em>A' (-3,2).
<h3>Step-by-step explanation:-</h3>
From the image shown on the xy-plane, the coordinate of point A is at (3,-2).
The rule for rotation by 180° about the origin is (x,y)→(-x, -y), where (x,y) is the coordinate of image and (-x, -y) is the coordinate of the resulting pre-image.
Given the coordinate point A(3,-2), if this coordinate is rotated 180°, the resulting point A' will be located at (-3,-(-2)) = (-3,2).
Therefore, the answer will be <u>A'(-3,2)</u>
✍️ <em>by </em><em>Benjemin</em> ☺️
