Question

Point P(−3, −4) is rotated 90° counterclockwise about the origin. What are the coordinates of its image after this transformation?

Answer 1

Counter clockwise means it goes backwards so -90°

After the 90° counter clockwise rotation the coordinates are (4,-3)

Answer 2

The co-ordinates of the image of P is (-4,3).

Explanation:

We are given the point P =(-3,-4).

Ir is rotated 90° clockwise about the origin.

We know,

Rotation of 90° clockwise about the origin changes the co-ordinate (x,y) to (y,-x).

So, the co-ordinate of the image of P =(-3,-4) will be P' = (-4,3).

Thus, the co-ordinates of the image of P is (-4,3).