Question

if(-2,-1),(a,0),(4,b)(,1,2) are the vertices of parallelogram find the value of a and b

Answer 1

I hope it will help u

Answer 2

Answer:

The value of a is 1 and b is 3.

Step-by-step explanation:

The vertices of a parallelogram are A(-2,-1),B(a,0),C(4,b),D(,1,2).

The diagonals of parallelogram bisects each other.

Mid point of AC = Mid point of BD

$(\frac{-2+4}{2},\frac{-1+b}{2})=(\frac{a+1}{2},\frac{0+2}{2})$

$(1,\frac{-1+b}{2})=(\frac{a+1}{2},1)$

On comparing both sides we get,

$\frac{a+1}{2}=1$

$a+1=2$

$a=1$

The value of a is 1.

$\frac{-1+b}{2}=1$

$-1+b=2$

$b=3$

The value of b is 3.