Question

In the graph below, find the coordinate of the image point, P(3, 0). O is the origin and O,90 is a rotation of 90 degrees about the origin. Rx and Ry are reflections around the x- and y-axes.

Rx O,90: (3,0)

(0, 3)
(-3, 0)
(0, -3)

Answer 1

The rotation clockwise 90 (O,90) will bring the point (3, 0) to (0, -3)

Answer 2

Thus, (3,0) Rx O,90° changes to (0,-3)

Explanation:

• O is the origin and O,90 is a rotation of 90 degrees about the origin.

• Rx and Ry are reflections around the x- and y-axes.

Given: Rx O,90: (3,0)

To determine:

Point P (3,0) rotation about origin (0,0) of 90°

and then Reflection about x-axis.

Rotation of P(x,y) about origin of 90°

P(x,y) changes to P'(y,x)

Therefore, P(3,0) changes to P'(0,3)

Now we take reflection about x-axis

R(x,y) changes to R'(x,-y)

Therefore, P'(0,3) changes to P''(0,-3)

Please see the attachment for both rule.

Thus, (3,0) Rx O,90° changes to (0,-3)