Question

The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).

Find the coordinates of the other endpoint, D.

Answer 1

Answer: Endpoint = (-4,6)

Explanation:

To find any endpoint use the formula
`(x_1+x_2)/(2) = Xmp`
`(y_1+y_2)/(2) =Ymp`

`(6+x_2)/(2) = 1`
`(-2+y_2)/(2) =2`

multiply each by 2 to simplify

`(6+x_2)/(2*2) = 1*2 = {6+x_2}= 2`
`(-2+y_2)/(2*2) =2*2 = -2+y_2=4` take the equations and simplify

6+
`x_(2)` = 2 -2+
`y_(2)` = 4 =

-6 -6 +2 +2

`x_(2)` = -4
`y_(2)` = 6

To check use the Midpoint formula

`(-4+6)/(2) , (6-2)/(2) = (2)/(2) , (4)/(2) = (1,2)`