Question

if the point P(a,-11),Q(15,b),R(2,15)and S(1,1)are the vertices of parallelogram.find the value of a and b

Answer 1

We know that diagonals of a parallelogram bisect each other

X = a+2/2 .......1
Y = -11+15/2=4/2......2

Also

X=1+15/2=16/2.....3

Y=1+b/2......4

From equation 1 & 3

a+2/2=16/2
a=14

From equation 2 & 4

4/2=1+b/2
b=3

Answer 2

Answer:

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other

So the coordinates of the mid – point of the PR = Coordinates of the mid – point of the QS

{(2 + a)/2,(15 – 11)/2} = {(5 + 1)/2,(b + 1)/2}

2 + a = 6

a = 4

15 – 11 = b + 1

4 = b + 1

b = 3

Hence, a = 4, b = 3

Thanks!!!!