Question

An image point after a 180° rotation is Z'(9, 2). What were the coordinates of the pre-image point?

A. Z(2, 9)
B. Z(-9, -2)
C. Z(-2, 9)
D. Z(2, -9)

Answer 1

180 degree rotation means reflection about origin.
You can just change the sign of coordinates to get the new coordinates.

Answer is B.

Hope it helps!

Answer 2

In 180 degree rotation, magnitude remains same, and sign of the coordinate changes. So, the coordinates of Pre-image would be: Z (-9, -2)

In short, Your Answer would be: Option B

Hope this helps!