Question

The midpoint of JK is M(2,1). One endpoint is J(1,4). Find the coordinates of the other endpoint K.

Answer 1

K is (3, -2)

Explanation:

The x-coordinate of J = 1

The x-coordinate of M = 2

Therefore, the x-coordinate of K will be the x-coordinate of the mid-point plus the difference between the x-coordinates of M and J: 2 + (2-1) = 3

The y coordinate of J = 4

The y-coordinate of M = 1

Therefore, the y-coordinator of K will be the y-coordinate of the mid-point plus the difference between the y-coordinates of M and J: 1 - (4-1) = -2

Therefore, K is (3, -2)