Question

whether the points $(-2,-1),(1,0),(4,3)$ and $(1,2)$ are at the vertices of a parallelogram.

• A. True
• B. False

Answer 1

The correct option is A True

P (-2 , 1 ) , Q (1 , 0) , R (4 , 3) , S (1 , 2)

Property of parallelogram: diagonals bisect each other

Midpoint of PR diagonal

$M=(\frac{-2+4}{2},\frac{-1+3}{2})M=(1,1)$

Mid point of QS diagonal

$M^{\prime }=(\frac{1+1}{2},\frac{0+2}{2})M^{\prime }=(1,1)$

Hence true.