Question

Square PQRS is rotated 90° clockwise using the origin as the center of rotation.

On a coordinate plane, square P Q R S has points (negative 2, 2), (negative 2, negative 1), (1, negative 1), (1, 2).

Which graph shows the image P’Q’R’S’?
On a coordinate plane, square P prime Q prime R prime S prime has points (2, 2), (negative 1, 2), (negative 1, negative 1), (2, negative 1).
On a coordinate plane, square P prime Q prime R prime S prime has points (negative 1, negative 1), (2, negative 1), (2, 2), (negative 1, 2).
On a coordinate plane, square P prime Q prime R prime S prime has points (negative 2, negative 2), (1, negative 2), (1, 1), (negative 2, 1).
On a coordinate plane, square P prime Q prime R prime S prime has points (1, 1), (negative 2, 1), (negative 2, negative 2), (1, negative 2).

Answer 1

Option 3:

On a coordinate plane, square P prime Q prime R prime S prime has points (negative 2, negative 2), (1, negative 2), (1, 1), (negative 2, 1).

Explanation:

After 90° clockwise rotation,

(x,y) ---> (-y,x)

(negative 2, 2) ---> (-2,-2)

(negative 2, negative 1) ---> (1,-2)

(1, negative 1) ---> (1,1)

(1, 2) ---> (-2,1)