Question

Triangle CAT has vertices C(-4,5), A(3,-1), and T(-2,-7). What are the coordinates of the image after a 270° counterclockwise rotation about the origin? Remember to include parentheses and do NOT include any spaces.

C'
A'
T'​

Answer 1

From my understanding and your lack of a picture:

The triangle CAT has rotated in 90 degrees clockwise direction about the origin or 270 degrees counterclockwise direction about the origin.

Explanation:

From the given figure it is noticed that the coordinates of the vertices of the pre-image are C(-2,1), A(-3,3) and T(1,1). The coordinates of the vertices of the image are C'(1,2), A'(3,3) and T(1,-1).

From these coordinates, we can conclude that the relation between the preimage and image is

If a figure rotated 90 degrees clockwise direction about the origin, then

Therefore triangle CAT is rotated 90 degrees clockwise direction about the origin or 270 degrees counterclockwise direction about the origin.