the image of point A under a 90° rotation about the origin is A'(10, -4). What are the coordinates of point A?

Given:

The image of point A under a 90° rotation about the origin is A'(10, -4).

To find:

The coordinates of point A.

Solution:

90° rotation about the origin means the figure is rotated 90° counterclockwise about the origin and the rule of rotation is

Let the coordinates of A are (a,b).

The image of point A under a 90° rotation about the origin is A'(10, -4).

On comparing both sides, we get

Therefore, the coordinates of point A are (-4,-10).

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step-by-step explanation: