Which algebraic rule describes the 180° counterclockwise rotation about the origin

Question

asked Jul 24, 2019 60.5k views

2 Answers

Mark Horvath · Answer 1 · 2019-07-27T23:28:54+0000

Answer:

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

Explanation:

We are asked to find the the algebraic rule describes the 180° counterclockwise rotation about the origin .

We know that when we rotate a point 180° counterclockwise rotation about the origin , the x and y-coordinates change their sign.

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

Therefore, our required rule is
$(x,y)\rightarrow (-x,-y)$ .