Question

The midpoint of line AB is M(9, 8). One endpoint is A(10, 10). What are the coordinates of the other endpoint B?

a) B(8, 6)
b) B(10, 6)
c) B(8, 10)
d) B(6, 8)

Answer 1

The coordinates of the other endpoint B are B(8, 6).

Step-by-step explanation:

To find the coordinates of the other endpoint B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M are the average of the coordinates of the endpoints A and B.

In this case, we can use the formula:

M = [(x1 + x2) / 2, (y1 + y2) / 2]

Substituting the given coordinates of M and A into the formula, we get:

9 = [(x1 + 10) / 2

8 = [(y1 + 10) / 2]

Simplifying the equations, we find that:

x1 + 10 = 18 and y1 + 10 = 16

Solving for x1 and y1, we get:

x1 = 8 and y1 = 6

Therefore, the coordinates of the other endpoint B are B(8, 6) (option a).