Question

Rectangle KLMN is graphed on the coordinate plane below. On a coordinate plane, rectangle K L M N has points (2, negative 2), (5, negative 2), (5, negative 4), (2, negative 4). The figure is rotated 360° counterclockwise using the origin as the center of rotation. What is the location of the image of point K? (2, –2) (2, 2) (–2, 2) (–2, –2)

Answer 1

Answer:  The correct option is (A) (2, -2).

Step-by-step explanation:  Given that rectangle with vertices at K, L, M and N is graphed on the coordinate plane as shown in the figure.The figure is rotated 360° counterclockwise using the origin as the center of rotation.

We are to find the location of the image of point K after the rotation.

We know that

a rotation of 360° in counterclockwise direction about the origin map a point to itself. That is, the co-ordinates of the image point will be same as the original one.

From the figure, we see that the co-ordinates of point K are (2, -2).

Therefore, after rotation of 360° counterclockwise using the origin as the center of rotation,

the co-ordinates of the image of point K will also be (2, -2).

Thus, the location of the image of point K is (2, -2).

Option (A) is CORRECT.