Question

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 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)

Answer 1

if JKLM is rotated 270° clockwise around the origin, the new vertices is at:

J'(-2, -6), K'(-6, -4), L'(-3, -3) and M'(1, -5)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rotation is the movement of a figure about a fixed point. If a point A(x, y) is rotated 270° clockwise around the origin, the new point is A'(-y, x).

The vertices of the parallelogram is at J(-6, 2), K(-4, 6), L(-3, 3) and M(-5, -1). Therefore if JKLM is rotated 270° clockwise around the origin, the new vertices is at:

J'(-2, -6), K'(-6, -4), L'(-3, -3) and M'(1, -5)

Therefore K′(−6, −4); L′(−3, −3) is the correct option

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