Show that the diagonals of a quadrilateral bịsect each other if and only if it is a parallelogram.

Given statement in (a) and (b). Identify the statements given below as contrapositive or converse of each other . If the quadrilateral is a parallelogram then its diagonals bisect each other 1 )If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram 2) if the diagonals of a quadrilateral bisect eachother , then it is a parallogram

Prove that if both pairs of opposite sides of a quadrilateral are equal, then it is a parallelogram.

Prove that diagonals of trapezium cut each other proportionally.

The coordinates of the vertices of a quadrilateral taken in order are '(2,1)', '(5,3),(8,7),(4,9)'. i) Find the coordinates of the midpoints of all four sides. ii) Prove that the quadrilateral got by joining these mid points is a parallelogram.

The coordinates of the verticesofa quadrilateral, taken in order, are (2,1), (5,3), (8,7), (4,9).Prove that the quadrilateral got by joining these midpoints is a parallelogram.

Write the sequence ofthe number of diagonals in a quadrilateral, pentagon, hexagon etc. What is its algebra?

Matrix A and B will be inverse of each other only if

In the figure, the diagonals of a quadrilateral split it into four triangles. The areas of three of them are shown in the picture: Calculate the area of the whole quadrilateral.

How are protoplasm of adjacent cells connected to each other?