Question

If (1,2),(4,y),(x,6) and (3,5) are the vertices of a parallelogram taken in order, find x and y.​

Answer 1

Answer:

x=6 and y = 3

Step-by-step explanation:

we know that diagonals of parallelogram bisect each other

so,

A(1,2) , B(4,y) ,C (x,6) D (3,5)

coordinates

of midpoint of AC= Coordinates of BD

midpoint formula

1+x÷2, 2+6÷2 = 4+3 ÷2 , y+5 ÷2

1+x÷2 , 8÷2 = 7÷2 , y+ 5÷2

1+x÷2 = 7÷2 , y+5 ÷2= 8÷2

1+x=7, y+5 = 8

×=6 , y=3