Question

(d) A point (3, 4) is the point of intersection of the diagonals of the parallelogram, two of whose
consecutive corners are at the points (3, 2) and (5,10). Find the co-ordinates of the remaining corners.​

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

)

Answer 2

Answer:

1.Diagonals are divided into two equal halves as parallelogram bisects the diagonal.

2. Use mid - point formula

3. Get your answers easily.

Hope this helps to solve other similar problems