Question

Determine the image of the point (-3, 4) under a rotation of 90° about the origin

Answer 1

90° rotation about the origin (clockwise) -- (4,3)

90° rotation about the origin (counterclockwise) -- (-4,-3)

Explanation:

You did not specify clockwise rotation or counterclockwise rotation. I will show for both.

Given a point (h,k):

1. Rotation 90° about origin clock wise will make it (k, -h). You basically swap x and y and make the y change signs

2. Rotation 90° about origin counterclockwise will make it (-k,h). You basically swap x and y and make x change signs

Thus, for the point given as (-3,4):

1. Rotation 90° about origin clock wise will make it (4,3), and

2. Rotation 90° about origin counterclockwise will make it (-4,-3)