A line segment has an endpoint at (3, 2). If the midpoint of the line segment is (6, -2), what are the coordinates of the point at the other end of the line segment?

(9,-6)

Step-by-step explanation:

The difference between the x coordinates (3 and 6) is 3 and the y coordinates (2 and -2) is -4, so the differences need to be the same from the midpoint to the other point.

6+3=9

-2+(-4)=-6

So the coordinates are (9,-6)

boxplot e is the answer

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.