∠ABC is a 40∘ angle. Point A is at (7, 1) Point B is at (3, 2) Point C is at (8, -1)

Question

If ∠ABC is rotated 180∘ about the origin, what are the new points on the image and what is the new angle degree measurement?

Answer 1

When you rotate a point by 180 degrees about the origin, you are just changing the sign of each coordinate.

So, (7,1) becomes (-7,-1). (3,2) becomes (-3,-2) And (8,-1) becomes (-8,1)

And angles between lines do not change under rotation, the angle ABC is still 40 degrees.