Figure ABCD is a rectangle with point a (-2, 5). What rule would rotate the figure 90° clockwise?
(x,y)→(y,-x)
(x,y)→(y,x)
(x,y)→(-y,x)
(x,y)→(-y,-x)

Solution:

Rotation is a transformation that turns a figure around a fixed point while it preserves the figure’s original shape and size.

Rays drawn from the center of rotation to a point on the original figure and the corresponding point on the rotated figure form the angle of rotation.

R_{(0, 0),90°}(x, y) = (y, -x)

The opposite of the x-coordinate of A becomes the y-coordinate of A’ and the y-coordinate of A becomes the x-coordinate of A’.

(x, y) → (y, -x) is the rule of rotating a figure 90 degrees clockwise

Given, point (-2, 5)

After rotating 90 degrees clockwise, the point is (5, -(-2))

= (5, 2)

Therefore, after rotation of 90 degrees clockwise the point is (5, 2).

Figure ABCD is a rectangle with point a (-2, 5). What rule would rotate the figure 90° clockwise?

Summary:

Figure ABCD is a rectangle with point a (-2, 5). The rule to rotate the figure 90° clockwise is (x, y) → (y, -x).