Question

Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle people are P prime Q prime R prime S prime . What are the coordinates of point R prime

Answer 1

R'(4, -1)

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.

If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is A'(-y, x)

From the image attached, below are the location of the points:

P(-3, -1), Q(-1, -1), R(-1, -4) and S(-3, -4)

If point R(-4, -1) is rotated 90° counterclockwise about the origin, its new location would be at R'(4, -1)