Parallelogram JKLM is shown on the coordinate plane below:Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1. If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram? J'(−2, −6); M'(1, −5) J'(6, 2); M'(−5, 1) J'(2, 6); M'(−1, 5) J'(6, −2); M'(5, 1)

A 270° counterclockwise rotation leads to this transformation:

(x,y) → (y, - x)

So, we have

original point: new point:

J (-6, 2) → J' (2, 6)

K (-4, 6) → K' (6, 4)

L (-3, 3) → L' (3, 3)

M (-5, -1) → M' (-1, 5)

So, you have the points J', K', L', and M' that define the new parallelogram.

Answer: The coordinates of the endpoints of the side congruent to side KL are the coordinates of K' and L' which are (6,4) and (3,3).