Question

P( -2, 5), Q(3, 6 ), R( -4, 3) and S(-9, 2) are the vertices of a quadrilateral. Find the coordinates of the midpoints of the diagonals PR and QS. Give a special name to the quadrilateral. 

Answer 1

Coordinates of mid point of PR are `((-2-4)/2 , (5 + 3)/2)` i.e. (-3 , 4)

Coordinates of mid point of QS are `((-9 + 3)/2 , (2 + 6)/2)` i.e. (-3 , 4)

The midpoint of PR is same as that of Qs , i.e. diagonals PR and QS bisect each other .

Hence , PQRS is a parallelogram.