Question

Three consecutive vertices of parallelogram are (-2,-1 ) , ( 1, 0 ) & (4,3). Find the four vertices?

Answer 1

In a parallelogram diagonals bisecte each other

so midpoint is x1 + x2/2, y1+ y2/,

therefore AD=BC

HENCE D =(7,4)

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 )