Question

The vertices of a parallelogram are (3,-2), (4,0),
(6,- 3) and (5,-5). The diagonals intersect at the
point M. The coordinates of the point M are
​

Answer 1

Answer:

The diagonals of a parallelogram bisect each other. Hence M is the mid point of the vertices (3,−2);(6,−3) or of the vertices (4,0);(5,−5)

Mid point of two points (x

1

,y

1

) and (x

2

,y

2

) is calculated by the formula (

2

x

1

+x

2

,

2

y

1

+y

2

)

Using this formula, mid point of (3,−2),(6,−3)=(

2

3+6

,

2

−2−3

)=(

2

9

,

2

−5

)