Question

the points A(-1,0),B (3,1),C (2,2),D(-2,1) are the vertices of a parallelogram. find the coordinates of the point of intersection of its diagonal .

Answer 1

Answer:

O(1/2,1)

Step-by-step explanation:

Since, ABCD is a parallelogram

Therefore ,diagonals bisects each other

Therefore OA = OC and OB = OD

Now,

Since O is the mid point of AC

:. X= -1+2/2

= 1/2

and Y= 0+2/2

= 2/2

= 1

:. O (1/2,1)

Similarily, O is the midpoint of BD

:.X=3+(-2)/2

=1/2

and Y = 1+1/2

=2/2

=1

Therefore O (1/2,1)

Coordinates of point of intersection are (1/2,1)

HOPE THIS IS HELPFUL TO YOU.......