Question

Find the value of x , if A(-2, 3), B(6, 7) and C(8, 3) ,D( x, -1) are vertices of a parallelogram ABCD

Answer 1

Answer:

Correct option is

B

(0, -1)

Let the fourth vertex D =(x,y)

We know that the diagonals of a parallelogram bisect each other. So,the

midpoint of AC is same as the mid point of BD.

Mid point of two points (x

1

,y

1

) and (x

2

,y

2

) is calculated by the formula (

2

x

1

+x

2

,

2

y

1

+y

2

)

So, midpoint of AC= Mid point of BD

=>(

2

−2+8

,

2

3+3

)=(

2

6+x

,

2

7+y

)

=>(

2

6

,

2

6

)=(

2

6+x

,

2

7+y

)

=>6+x=6;7+y=6

=>x=0;y=−1

Hence, D=(0,−1)

Step-by-step explanation:

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