During a class discussion, the teacher, Mrs. Johnson, stated that the point N(-3, 7) was rotated 180 degrees with the point (-1, 2) as the center of rotation. She asked the class to write down the coordinate point of the image. James and Bill wrote down the following answers: James: N’(1, -3) Bill: N’(3, -7) Which student is correct?

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.