Question

c. change both coordinates to their opposites
d. swap the coordinates
what happens to a point when it is rotated 180 degrees around the origin?
a. both coordinates remain unchanged
b. both coordinates are negated
c. the coordinates are swapped and the new y - coordinate is negated
d. the coordinates are swapped and the new x - coordinate is negated

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:

b. Both coordinates are negated