Question

Three vertices of parallelogram JKLM are J(-2,-1), K(0,2), and L(4,3). find M

Answer 1

M(2, 0)

Explanation:

You want the coordinates of point M in parallelogram JKLM, given the vertices J(-2, -1), K(0, 2), and L(4, 3).

Midpoint

The diagonals of a parallelogram bisect each other, so have the same midpoint:

(J+L)/2 = X = (K +M)/2

J +L = K +M

M = J +L -K

M = (-2, -1) +(4, 3) -(0, 2) = (-2+4-0, -1+3-2) = (2, 0)

The coordinates of point M are (2, 0).

<95141404393>