Question

The points A (1 , 0), B (5 , 3) , C (2 , 7) and D(x , y) are vertices of a parallelogram taken in order. Find the value of x & y.

Answer 1

Answer:

By mid -point formula = (x1+x2/2,y1+y2/2)

AC=BD Bcz opp. sides of parralellogram are equal

AC = (1+2/2,7+0/2)= (3/2,7/2)

BD= (5+x/2,3+y/2)

Then,

3/2= 5+x/2

2 is cancelled

3=5+x ; x=-2

7/2=3+y/2 ; 2 is cancelled

7=3+y ; y = -4

So x=-2 and y=-4 Its your answer