How will the following transformation rule move a preimage?

(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 translated up and to the right.
It will be translated up and to the right.

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

It will be rotated 180 degrees.

1 answer

The transformation rule \((x, y) \rightarrow (-x, -y)\) reflects points across the origin. This transformation can also be described as a rotation of 180 degrees around the origin.

Therefore, the correct response is:

It will be rotated 180 degrees.

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