Question

If parallelogram JKLM is rotated 270° counterclockwise around the origin, what are the coordinates of the endpoints of the side congruent to side KL in the image parallelogram? A. K’(-4, -6); L’(3, -3) B. K’(6, 4); L’(3, 3) C. K’(-6, -4); L’(-3, -3) D. K’(-4, 6); L’(-3, -3)

Answer 1

K'(-6, -4); L'(-3, -3)

Explanation:

the other answer was slightly off

Answer 2

The correct answer is:

B) K’(6, 4); L’(3, 3)

Explanation:

A 270° clockwise rotation maps every point (x, y) to (y, -x). (It negates the x-coordinate and then switches it and the y-coordinate.)

This means the endpoints of the side congruent to KL, K' and L', would be mapped as:

K'(-4, 6)→(6, 4)

L'(-3, 3)→(3, 3)