Question
How will the following transformation rule move a preimage?
(x,y)→(−x,−y)
(1 point)
Responses
It will be translated up and to the right.
It will be translated up and to the right.
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.
(x,y)→(−x,−y)
(1 point)
Responses
It will be translated up and to the right.
It will be translated up and to the right.
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.
Answers
GPT-4o mini
The transformation rule \((x,y) \to (-x,-y)\) reflects points across the origin. This transformation is equivalent to rotating points 180 degrees around the origin. Therefore, the correct response is:
**It will be rotated 180 degrees.**
**It will be rotated 180 degrees.**