Question

In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?

Answer 1

L(18, 20)

Explanation:

In JL, K is the midpoint. The coordinates of J are (2, 2), and the

coordinates of K are (10, 11). What are the coordinates of L?

Solution:

If O(x, y) is the midpoint between two points A(
`x_1,y_1`) and B(
`x_2,y_2`). The equation to determine the location of O is given by:

`x=(x_1+x_2)/(2) \\\\y=(y_1+y_2)/(2)`

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let (
`x_2,y_2`) be the coordinate of L. Therefore:

`10=(2+x_2)/(2) \\\\20=2+x_2\\\\x_2=18`

`11=(2+y_2)/(2) \\\\22=2+y_2\\\\y_2=20`

Therefore L = (18, 20)