Question

A(0, -4), B(6,2), C(3,5) and D(x,-1) are the vertices of parallelogram then x =
O A -1
Ов. -3
O c. 2
OD 3

Answer 1

Answer:

Correct option is

D

(2,7)

Let the three vertices of parallelogram ABCD be A(−1,2),B(4,1)andC(7,6)

Let the fourth vertex be D(a,b)

By joining AC and BD intersect at point O i.e, diagonals of parallelogram bisect each other

Mid point of AC= (

2

−1+7

,

2

2+6

)=(3,4)

Mid point of BD =(

2

4+a

,

2

1+b

)

2

4+a

=3

2

1+b

=4

∴a=2,b=7

∴ The coordinate of fourth vertex =(2,7)

Step-by-step explanation:

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