Question

If P = (-3,5), find the imageof P under the following rotation.180° counterclockwise about the origin([?], []).Enter the number that belongs inthe green box.Enter

Answer 1

The rule for a 180° counterclockwise rotation is-

$(x,y)\rightarrow(-x,-y)\text{.}$

So, we just have to change the sign of each coordinate.

$(-3,5)\rightarrow(3,-5)$Hence, the image is (3,-5).