Answer :

The image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).

What is Dilation?

Dilation is a process for creating similar figures by changing the size.

What is the rotation of a point counterclockwise about the origin?

Rotation of a point P(x, y) 180 counterclockwise about the origin produces an image at P'(-x, -y).

Here, the point counterclockwise about the origin → (-(-9), -7).

Therefore, the image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).

Learn more about the Dilation here:

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