what is the image of the point (2,-5) after a rotation of 180° clockwise about the orgin

identify the coordinates of the point (2,-5) after a rotation of 180 degrees clockwise around the origin.

identify the coordinates of the point (2,-5) after a rotation of 180 degrees clockwise around the origin.

To determine the image of a point after rotating it 180° clockwise about the origin, you can use the following steps:

1. Plot the point (2,-5) on a coordinate plane.

2. To rotate the point 180° clockwise, imagine a line passing through the origin and the given point.

3. Reflect the point across this line. This will give you the image of the point after a rotation of 180° clockwise about the origin.

In this case, reflecting the point (2,-5) across the line passing through the origin and the given point results in the point (-2,5). Therefore, the image of the point (2,-5) after a rotation of 180° clockwise about the origin is (-2,5).

such a rotation takes (x,y) → (-x,-y)