Parallelogram jklm is shown on the coordinate plane below: 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?

Answer-

The coordinates of the endpoints of the side congruent to side JM will be,

(-2, -6) and (1, -5).

Solution-

When rotating a point 270° clockwise or 90° counter-clockwise around the origin, we apply the rule (x, y) → (-y, x).

The co-ordinates of the original parallelogram are,

J = (-6, 2)

M = (-5, -1)

L = (-3, 3)

K = (-4, 6)

After the rotation, the new co-ordinates will be,

J = (-2, -6)

M = (1, -5)

L = (-3, -3)

K = (-6, 4)

∴ The coordinates of the endpoints of the side congruent to side JM will be,

(-2, -6) and (1, -5).

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: