Question

The midpoint of segment GH is M (4, 8). One endpoint is G (9, -10). What are the coordinates of the other endpoint H?

A) H (1, 2)
B) H (0, 4)
C) H (7, -2)
D) H (14, -20)

Answer 1

The coordinates of the other endpoint H are (-1, 26).

Step-by-step explanation:

To find the coordinates of the other endpoint H, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates (x1 + x2)/2 and the y-coordinates (y1 + y2)/2.

In this case, we are given that the midpoint M is (4, 8) and one endpoint is G (9, -10). Let the coordinates of the other endpoint H be (x, y). Using the midpoint formula, we can set up the following equations:

(9 + x)/2 = 4

(-10 + y)/2 = 8

Solving these equations, we get x = -1 and y = 26. Therefore, the coordinates of the other endpoint H are (-1, 26).