Question

The quadrilateral which is formed by joining the points (-7,3) (5,10) (15,8)(3,-5)

Answer 1

sorry ...............

Answer 2

Answer:

Let the points A(-7,-3), B(5,10),

C(15,8) and D(3,-5) are vertices

of a parallelogram .

We know that ,

The diagonals of a parallelogram

bisects each other

So , the midpoint of diagonal AC

and DB should be same .

Now , we find mid points of AC and

DC by using ( x1 + x2/2 , y1 + y2/2 )

formula

i ) midpoint of AC = ( -7+15/2 , -3+8/2)

= ( 8/2 , 5/2)

= ( 4 , 5/2 ) -----( 1 )

ii ) mid point of DB = ( 3+5/2, -5+10/2)

= ( 8/2 , 5/2 )

= ( 4 , 5/2 ) -----( 2 )

Hence , midpoint of AC and mid point

DB is same .

Therefore ,

the points A, B , C , D are vertices of

a parallelogram.

I hope this helps you.

: )