Question

Using the midpoint formula, determine the other endpoint of each segment given the coordinates of the midpoint and an endpoint. a. Endpoint: (-1, 9) Midpoint: (-9, -10) Other Endpoint=( , ) b. Endpoint: (2, 5) Midpoint: (5, 1) Other Endpoint=

Answer 1

Explanation:

a. (x - 1)/2 = -9

x - 1 = -18

x = -17

(y + 9)/2= -10

y + 9 = -20

y = - 29

(-17, -29) the other endpoint

b. (x + 2)/2 = 5

x + 2 = 10

x = 8

(y + 5)/2= 1

y + 5 = 2

y = -3

(8, -3) the other endpoint