Question

B is the midpoint of line AC and E is the midpoint of line BD. If A(-9,-4), C(-1,6), and E(-4,-3), find the coordinates of D

Answer 1

The coordinates of D are (-3,-7).....

Explanation:

First we have to find the coordinates of B. For this we will take the average of the two points that make up the segment. We will take A and C.

Average of x's value

-9+(-1) = -9-1 = -10/2 = -5

Average of y's value

-4+6 = 2/2 = 1

Thus the coordinates of B are (-5,1)

Now we will find the coordinates of D. Here E is the average of B and D. Thus the solution will be:

B+D/2= E

Average of x's

-5+D/2 = -4

-5+D = -4*2

-5+D = -8

D= -8+5

D= -3

Average of y's

(B + D)/2 = E

1 + D/2 = -3

1 + D = -6

D = -7

Thus the coordinates of D are (-3,-7).....