Question

1. what happens to a point when it is rotated 180 degrees around the origin?

a. the coordinates are swapped and the new x - coordinate is negated
b. the coordinates are swapped and the new y - coordinate is negated
c. both coordinates are negated
d. both coordinates remain unchanged

Explanation:

When a point $(x,y)$ is rotated 180 - degrees around the origin, the transformation rule is $(x,y)\to(-x,-y)$. This means both the $x$ - coordinate and the $y$ - coordinate are negated.

Answer:

C. Both coordinates are negated