Question

The vertices of a parallelogram in order are A(1,2) B(4,y) C(x,6) D(3,6) then the value of x and y respectively are?

Answer 1

it is the answer

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Answer 2

Answer:

X=6 and Y=2

Step-by-step explanation:

In a parallelogram, diagonals bisect each other.

Hence midpoint of BD = midpoint of AC

Midpoint of line segment joining the points (x1,y1) and (x2,y2) =( x1+x2/2 ,y1+y2/2)

mid point of AC=mid point of BD

(1+x/2 , 2+6/2)= ( 4+3/2 , 6+y/2)

(1+X/2 ,4)= (7/2 , 6+y/2)

compare both sides

1+X/2=7/2

1+X=7

X=6

similarly

4=6+y/2

8=6+y

2=y