Question

(5;7) (-1,-1) and (6,6) are there consecutive vertex of a parallelogram if its fourth vertex is _______ on x axis​

Answer 1

Answer:

Diagonals of a parallelogram bisect each other,

let the point of intersection of diagonals be M(m,n)

m=

2

−2+4

​

=1 and n=

2

−1+3

​

=1

∴m=1 and n=1

Let the Fourth vertex be D(x,y)

⇒ m=

2

1+x

​

=1 and n=

2

0+y

​

=1

x+1=2 and y=2

Thus x=1 & y=2

The fourth vertex of the parallelogram is D≡(1,2)

Step-by-step explanation:

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