Question

which point results when the point (-2, 8) is rotated 180 degrees around the point (0, 0)

Answer 1

(2,-8)

Explanation

The rule for a rotation by 180° about the origin is:

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

in other words you have to change the sign of x component and y component, so

$(-2,8)\Rightarrow rotated\text{ 180 \degree}\Rightarrow(-(-2),-(8))=(2,-8)$

so, the point that results is

(2,-8)

I hope this helps you