Question

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 KL in the image parallelogram? (2 points)

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

Answer 1

for a 270 degree clockwise rotation, the rotation rule is (x,y) ---> (-y,x) (switch the coordinates, then multiply the first coordinate by -1)

so take one of your points (let's start with K(-4,6)), apply the function rule, and see what the output coordinate is (a.k.a your K' value)

Answer 2

for future reference, if you have trouble remembering rotation rules, https://www.onlinemath4all.com/algebraic-representations-of-rotations.html