Find the coordinates for D if E is the midpoint of CD for C( -3,4) and E ( 0,1)

Question

E is the midpoint of CD and find the coordinates of D

Answer 1

Let coordinates of D = (x,y)

Midpoint of CD = (0, 1)

(0, 1) = [(x-3)/2, (y+4)/2]

(x-3)/2 = 0   and  (y+4)/2 = 1

x-3 = 0                  y+4 = 2

x =0+3                     y = 2-4

x = 3                         y = -2

Coordinates of D = (3,-2)

C(-3,4) D(3,-2)

Distance between CD =√((3+3)^2+(-2-3)^2)

CD =√(36+25)

CD=√61

Coordinates of D = (3,-2) and distance between CD = √61