Question

The diagonals of parallelogram JKLM below intersect at point (2, 5). If K is located at (8, 7), what are the coordinates of point M?

A (-4,3)

B (3,-4)

C (4,-3)

D (3,4)

Answer 1

A (-4,3)

Explanation:

THe formula for calculating midpoint is expressed as;

M(X, Y) = {(x1+x2/2), y1+y2/2}

Given

Midpoint = (2, 5)

K = (8, 7)

Required

Coordinate of M

X = x1+x2/2

2 = 8+x2/2

4 = 8+x2

x2 = 4-8

x2 = -4

Similarly;

Y = y1+y2/2

5 = 7+y2/2

10 = 7+y2

y2 = 10-7

y2 = 3

Hence the coordidates of M is at (-4,3)