Question

if the points A(-2,-1), B(1,0),, C(a,3) and D(1,2) form a parallelogram,find the values of a and b.​

Answer 1

Step-by-step explanation:

In the parallelogram ABCD , AC and BD are the diagonals.

Co-ordinates of mid-point of AC=(

2

−2+a

,

2

1+1

)

Co-ordinate of mid-point of BD=(

2

1+1

,

2

0+b

)

It is known that diagonals of the parallelogram bisect each other. Thus mid point of AC and BD coincide each other.

Thus,

2

−2+a

=1⟹a=4

2

1+1

=

2

b

⟹b=2