Home
Class 9
MATHS
Show that if the diagonals of a quadrila...

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

Text Solution

Verified by Experts


Given: The diagonals of a quadrilateral bisect each other at right angles.
To show that a given quadrilateral is a rhombus, we have to show it is a parallelogram and all the sides are equal.
Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus ...
Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|8 Videos
  • QUADRILATERALS

    NCERT ENGLISH|Exercise Exercise 8.2|7 Videos
  • PROBABILITY

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|10 Videos
  • STATISTICS

    NCERT ENGLISH|Exercise Exercise 14.2|9 Videos

Similar Questions

Explore conceptually related problems

Prove 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 are equal and bisect each other at right angle, then it is a square.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square

Show that the diagonals of a square are equal and bisect each other at right angles.

Show that the diagonals of a square are equal and bisect each other at right angles.

Show that the diagonals of a square are equal and bisect each other at right angles.

State True or False If the diagonals of a quadrilateral bisect each other at right angle, the quadrilateral is a square.

The diagonals of a parallelogram bisect each other.

Prove that the diagonals of a parallelogram bisect each other.

The diagonals of a rectangle bisect each other