if diagonals of a parallelogram bisect each other,prove that its a rhombus

The diagonals of a parallelogram bisect each other.

The diagonals of a rectangle bisect each other

Fill in the blanks, in each of the following, so as to make the statement true: 1. A rhombus is a parallelogram in which.... 2. A square is a rhombus in which.... 3. A rhombus has all its sides of ........ length. 4. The diagonals of a rhombus..... each other at... angles. 5.It the diagonals of a parallelogram bisect each other at right angles, then it is a....

Prove that the diagonals of a parallelogram bisect each other.

Prove by vector method that the diagonals of a parallelogram bisect each other.

If the diagonals of a parallelogram are perpendicular, then it is a rhombus.

If the diagonals of a quadrilateral bisect each other at right angle, prove that the quadrilateral is a rhombus. A rhombus has all its four sides equal.

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other.(a) If you live in Delhi, then you have winter clothes. (i) If you do not have winter clothes, then you do not live in Delhi. (ii) If you have winter clothes, then you live in Delhi.(b) If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.