Question

C is the midpoint of segment AB, D is the midpoint of segment CB and E is the midpoint of segment DB

A is located at (-10,14) and B is located at (8,-2) . What are the coordinates of point E ?
A. (7,-1)
B. (5.75,0)
C. (3.5,2)
D. (-1,6)

Answer 1

B.

Explanation:

the distance for every segment is half of the previous one.

so, when we get to E we have divided the whole distance AB 3 times by 2. that means by 2³ = 8.

so, the distance EB = AB/8.

and that means that also the coordinate differences are divided by 8.

AB coordinate differences = (|-10 - 8|, |14 - -2|) =

= (18, 16)

therefore the EB coordinate differences are

(18/8, 16/8) = (2.25, 2)

E is to the left and above B, so we need to subtract the x difference and add the y difference :

E = B + (-2.25, 2) = (8-2.25, -2+2) = (5.75, 0)