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?
K′(−4, −6); L′(3, −3)
K′(−6, −4); L′(−3, −3)
K′(6, 4); L′(3, 3)
K′(−4, 6); L′(−3, −3)
To rotate a point 270° clockwise around the origin, you can switch the x and y coordinates and then negate the new x-coordinate.
For point K(-4, 6), the new coordinates would be (-6, -4).
For point L(-3, 3), the new coordinates would be (-3, -3).
Therefore, the coordinates of the endpoints of the side congruent to side KL in the image parallelogram are K′(-6, -4) and L′(-3, -3). So, the correct answer is: K′(-6, -4); L′(-3, -3)