Question

The three consecutive vertices of a parallelogram are (-2,1), (1,0) and (4,3). Find the coordinates of the fourth vertex

Answer 1

The coordinates of fourth vertex of the parallelogram will be (1,4)

Answer 2

Answer:

Midpoint of (-2,1) and (4,3)=midpoint of (x,y) and (1,0)

where (x,y) is unknown vertex of parallelogram.

=>x=(-2+4)/2=1

=>y=(1+3)/2=2

hence, the unknown vertex is (1,2 )