Question

What is the image of (2,-3) after a 180 degree counterclockwise rotation about the origin?a. (-3, 2) b.(-2, 3) c. (-3, -2)d.(-2,3)

Answer 1

b.(-2, 3)

Explanation:

A 180 roration transforms the coordinates of a point according to the following rule.

`(x,y)\rightarrow(-x,-y)`

For our point (2, -3), applying the above rule gives.

`(2,-3)\rightarrow(-2,3)`

Hence, the coordinates of the image are (-2, 3 ) which is choice B.