Question

(TEKS 2A.) EF has midpoint M (6,2) and F (12,-6). What is the coordinates of the endpoint E.

A (2,8)
C (0, 10)
B (18,-2)
D (18,-14)

Answer 1

C (0, 10)

Explanation:

The point E is (x,y)

The point F is (12,-6).

The midpoint between E and F is M(6,2).

Midpoint

Is the mean between the points of E and F.

x

`(x + 12)/(2) = 6`

`x + 12 = 12`

`x = 0`

y

`(y - 6)/(2) = 2`

`y - 6 = 4`

`y = 10`

So E(0, 10), which means that the correct answer is C.