Question

If (3,3),(6,y),(x,7) and (5,6) are the vertices of parallelogram taken in order then find the value of x and y .

Answer 1

O is mid - point of AC
X= 3+x÷2 , Y=2+7÷2 =5
O(3+x÷2, 5)
similarly, O is mid - point of DB
X=6+5÷2 , Y=y+7÷2
3+x÷2=11÷2 , 5=y+7÷2
x=16÷2 , y=10-7
x=8 , y=3