the coordinates of three of the vertices of a parallelogram are given. Find the possible coordinates for the fourth vertex. L (0,4), M (6,0), N (2,4).

Step-by-step explanation:

Given Coordinates of three vertices of the parallelogram L (0,4), M (6,0), N (2,4).

Corresponding to each vertex, there are three possibilities of having a fourth vertex

Coordinates of fourth vertex opposite to L is given by

(x, y)

(6+2-0,0+4-4) = (8,0)

Coordinates of fourth vertex opposite to M is given by

(x, y) = (0+2-6,4+4-0) = (-4,8)

Coordinates of fourth vertex opposite to N is given by

(x, y) = (0+6-2,4+0-4) = (4,0)

Therefore, the possible coordinates of the fourth vertex are

(8,0); (-4,8) and (4,0)