Question

Find the coordinates of the missing endpoint given E is the midpoint of DF. F(5,8) E(4,3)

Answer 1

(3, -2)

Explanation:

( x1 + x2 / 2, y1 + y2 / 2 )

x2 = ( x1 + E / 2 ), y2 = ( y1 + E / 2 )

5 + x / 2 = 4, 2(5 + x / 2) = 4(2) = 5 + x = 8, x = 3

8 + y / 2 = 3, 2(8 + y / 2) = 3(2) = 8 + y = 6, y = -2

Answer 2

(3,-2)

Explanation:

Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)