Question

M is the midpoint of segment AB. Q is the midpoint of segment MB. A is located at (-3, 5), and B is located at (9, -9). What are the coordinates of Q?

A) (0, 0)
B) (3, -2)
C) (6, -7)
D) (2, 0)

Answer 1

The midpoint of segment AB is located at (3, -2).

Step-by-step explanation:

The midpoint of a line segment AB can be found by taking the average of the x-coordinates and the average of the y-coordinates of points A and B. In this case, point A has the coordinates (-3, 5) and point B has the coordinates (9, -9).

The x-coordinate of the midpoint Q is calculated as (-3 + 9) / 2 = 6 / 2 = 3.

The y-coordinate of the midpoint Q is calculated as (5 + -9) / 2 = -4 / 2 = -2.

Therefore, the coordinates of the midpoint Q are (3, -2), which means the correct answer is (B) (3, -2).