Question

Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° counterclockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?

C' (2, −3)
C' (−2, 3)
C' (2, 3)

Answer 1

C'(2, 3 )

under a counterclockwise rotation about the origin

a point (x, y ) → (- y, x ) hence

C(3, - 2 ) → C'(2, 3 )

Answer 2

C' (2, 3)

Explanation:

Remember that when you are rotating something 90 degrees and counter clockwise you just need to interchange the X and Y values, and change the value of the new X to a negative position because it woul be located in the second quarter:

(x,y) rotated 90º counter clockwise= (-y,x)

(3,-2)=(-(y),x)=(-(-2),(3)=(2,3)

So the answer would be C' (2, 3)