The transformation rule \( (x,y) \rightarrow (-x,-y) \) moves a preimage by reflecting it through the origin. This is equivalent to rotating the preimage 180 degrees about the origin.
Thus, the correct response is: It will be rotated 180 degrees.
How will the following transformation rule move a preimage? (x,y)→(−x,−y) (1 point) Responses It will be dilated to become smaller. It will be dilated to become smaller. It will be translated down and to the left. It will be translated down and to the left. It will be translated up and to the right. It will be translated up and to the right. It will be rotated 180 degrees.
1 answer
The transformation rule \( (x,y) \rightarrow (-x,-y) \) moves a preimage by reflecting it through the origin. This is equivalent to rotating the preimage 180 degrees about the origin.
Thus, the correct response is: It will be rotated 180 degrees.