Answer:
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)
