Question

1 point
If A(-2,-1),B(a,0),C(4,b)and
D(1,2) are the vertices of a
parallelogram then values of a
and b respectively are
*
О 1 and 3
O 2 and 3
O -1 and 3
О 1 and - 3
O 3 and 1​

Answer 1

1 and 3is the answer

Diagonals of a parallelogram bisect each other

⇒ Midpoint of diagonal AC = midpoint of diagonal BD

( -2+4/2,-1+b/2)=(a+1/2,0+2/2)

a+1/2=1 ,b-1/2=2

so,

a=1,b=3