How will the following transformation rule move a preimage?

Question

(x,y)→(−x,−y)

(1 point)
Responses

It will be translated down and to the left.
It will be translated down and to the left.

It will be rotated 180 degrees.
It will be rotated 180 degrees.

It will be dilated to become smaller.
It will be dilated to become smaller.

It will be translated up and to the right.

Answer 1

The transformation rule \( (x,y) \to (-x,-y) \) will move a preimage by rotating it 180 degrees around the origin.

So, the correct response is: It will be rotated 180 degrees.