Answer is point N = ( 1 , 2 )
Step by step
The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
This means your x and y change to the opposite sign
Our point N (-1,-2) becomes ( 1, 2)
Our point K ( 3, 0) becomes ( -3, 0)
Our point P ( 1, 4) becomes ( -1, -4 )
Our point F ( -4, 2) becomes ( 4, -2)
I graphed it for you and attached