Question

A & B are the endpoints of a segment, and M is the midpoint of the segment. Given A and M, find the missing endpoint, B.

A(0, -1) M(17, 0)
A. (34, 1)
B. (17, 2)
C. (0, 1)
D. (17, -2)

Answer 1

To find the missing endpoint B, we can use the midpoint formula, where the x-coordinate of B is the average of the x-coordinates of the endpoints, and the y-coordinate of B is the average of the y-coordinates of the endpoints.

Step-by-step explanation:

To find the missing endpoint B, we can use the midpoint formula which states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

Let's calculate the x-coordinate of B first. We have the x-coordinate of M as 17 and the x-coordinate of A as 0. So, the x-coordinate of B will be (0 + 2 * 17) / 2 = 34 / 2 = 17.

Similarly, let's calculate the y-coordinate of B. We have the y-coordinate of M as 0 and the y-coordinate of A as -1. So, the y-coordinate of B will be (-1 + 2 * 0) / 2 = -1 / 2 = -0.5.

Therefore, the missing endpoint B is (17, -0.5), which is closest to the option (17, -2).