Rectangle KLMN is graphed on the coordinate plane below.The figure is rotated 360° counterclockwise using the origin as the cent

Question

Dahasolnce [82]

3 years ago

8

Rectangle KLMN is graphed on the coordinate plane below.The figure is rotated 360° counterclockwise using the origin as the cent

er of rotation. What is the location of the image of point K?
A. (2, –2)
B. (2, 2)
C. (–2, 2)
D. (–2, –2)

Mathematics

2 answers:

VladimirAG [237] · Answer 1 · 2022-07-10T21:02:45+03:00

VladimirAG [237]3 years ago

3 0

Since 360 is a full loop around the circle, the points end up in the exact same place.

vazorg [7] · Answer 2 · 2022-07-10T22:34:58+03:00

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.