Question

The endpoints of AB are A(4,2) and B(1,-2). What are the coordinates of the midpoint of AB?

A) (2.5, 0)
B) (2.5, 0.5)
C) (1.5, 0)
D) (0, 2.5)

Answer 1

The coordinates of the midpoint of the line segment AB with endpoints A(4,2) and B(1,-2) are (2.5, 0).

Step-by-step explanation:

The coordinates of the midpoint of a line segment AB can be found by taking the average of the x-coordinates of A and B to find the x-coordinate of the midpoint, and taking the average of the y-coordinates of A and B to find the y-coordinate of the midpoint.

For the given line segment AB with endpoints A(4,2) and B(1,-2), the x-coordinate of the midpoint is (4+1)/2 = 2.5 and the y-coordinate of the midpoint is (2+(-2))/2 = 0.

Therefore, the coordinates of the midpoint of AB are (2.5, 0), which corresponds to option A.