A rectangle is shown belowA(-4,2) B(-2, 2)C(-2, -2)D(-4, -2)The rectangle is rotated 180 about the origin, What are the new coordinates of point D?A (2,-2)B. (4,2)C. (4.-2)D (2,2)

Answer:
B. (4,2)
Explanation:
The coordinates of point D is (-4, -2)
If a point (x,y) is rotated 180 about the origin, we have the transformation:
[tex](x,y)\to(-x,-y)[/tex]Therefore, the new coordinates of point D will be: (4, 2).
The correct choice is B.