Home
Class 9
MATHS
If the diagonals of a quadrilateral bise...

If the diagonals of a quadrilateral bisect each other at right angle, prove that the quadrilateral is a rhombus.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Exercise 7b|15 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (very Short Answer Questions)|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|5 Videos

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

If the diagonals of a quadrilateral bisect each other at right angles, then this quadrilateral is

If the diagonals of a quadrilateral bisect each other at right angles, then this quadrilateral is a

If the diagonals of a quadrilateral bisect each other at right angle, then the quadrilateral is a parallelogram (b) rectangle (c) rhombus (d) kite

If diagonal of a quadrilateral bisects each other at right angles then it is a

The diagonals of a square are equal and bisect each other at right angle

If the diagonals of a quadrilateral bisect each other, it is a __________.

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 bisect each other at right angles, then it is a rhombus.

NAGEEN PRAKASHAN-TRIANGLES-Exercise 7a
  1. The following figure shows a square ABCD and an equilateral triangle D...

    Text Solution

    |

  2. The given figure showns a parallelogram ABCD. Squares ABPQ and ADRS ar...

    Text Solution

    |

  3. In a DeltaABC, BD is the median to the side Ac, BD is produced to E su...

    Text Solution

    |

  4. In the given figure, angleBDC=angleBEA and AB = BC. Show that AE=CD.

    Text Solution

    |

  5. If the diagonals of a quadrilateral bisect each other at right angle, ...

    Text Solution

    |

  6. In the adjoining figure, BM and DN are the perpendiculars from B and D...

    Text Solution

    |

  7. In the adjoining figure, AB=EF, BC=DE, angleABC=angleFED=90^(@), prove...

    Text Solution

    |

  8. In the adjoining figure, ABCD is a parallelogram. If angleMBC = angleN...

    Text Solution

    |

  9. In the adjoining figure, QX and RX are the bisectors of the angles Q a...

    Text Solution

    |

  10. In the following figure, OA = OC and AB = BC. Prove that : (i) angle...

    Text Solution

    |

  11. In the adjoining figure, ABCD is a paralogram. The side AB is produced...

    Text Solution

    |

  12. In the following figures, AB=PQ, AC=PR and AM=PN. Prove that DeltaABC ...

    Text Solution

    |

  13. Prove that the medians of an equilateral triangle are equal.

    Text Solution

    |

  14. ABCD is a square EF is parallel to BD. R is the mid-point of EF. Prove...

    Text Solution

    |

  15. The following figure shows a triangle ABC in which Ab = AC. M is a poi...

    Text Solution

    |

  16. In the given figure, AB"||"DC and angleD=angleC. Prove that : (i) AD...

    Text Solution

    |

  17. In the following figure, AB||FD, AC||GE and BD = CE. Prove that : (i...

    Text Solution

    |

  18. In the adjoining figure, angleAYZ=angleBYX=90^(@), AY = YZ and XY = BY...

    Text Solution

    |

  19. In the adjoining figure, ABCD is a square and PAB is an equilateral tr...

    Text Solution

    |

  20. In the adjoining figure, DeltaABC is right angled at C and M is the mi...

    Text Solution

    |