How will the following transformation rule move a preimage? (x,y)→(−x,−y)

Question

A. It will be translated up and to the right.
B. It will be rotated 180 degrees.
C. It will be translated down and to the left.
D. It will be dilated to become smaller.

Answer 1

The transformation rule \((x,y) \rightarrow (-x, -y)\) reflects every point across the origin (0,0). This specific transformation can also be described as a rotation of 180 degrees about the origin.

Therefore, the correct answer is:

B. It will be rotated 180 degrees.