I’m rectangle ghjk is rotated 180 degrees using the origin as the center of rotation. what are the coordinates of the image’s point k after the rotation?
a) (-2, 7)
b) (-7, -2)
c) (-7, 2)
c) (2, 7)

A(-2,7)

Step-by-step explanation:

Here is the starting coordinate for K.

K (2, -7)

When you are rotating a figure by 180 degree the coordinate changes like this:

R 0,180 (x,y) --> (-x,-y)

So, we must apply this to point K.

R 0,180 (2,-7) --> (-2,7)

There you go! The new coordinate is (-2,7)

A (-2, 7)

Step-by-step explanation:

it would be 6xy and -16xy.