Home
Class 9
MATHS
The diagonal BD of a parallelogram ABCD ...

The diagonal BD of a parallelogram ABCD bisects angles B and D. Prove that ABCD is a rhombus.

Promotional Banner

Topper's Solved these Questions

  • RECTILINEAR FIGURES

    ICSE|Exercise POLYGONS - 3 MARKS QUESTIONS|5 Videos

  • RECTILINEAR FIGURES

    ICSE|Exercise POLYGONS - 4 MARKS QUESTIONS|4 Videos

  • RECTILINEAR FIGURES

    ICSE|Exercise Exercise 14(B)|16 Videos

  • RATIONAL AND IRRATIONAL NUMBERS

    ICSE|Exercise EXERCISE 1 (D)|21 Videos

  • SIMULTANEOUS EQUATIONS

    ICSE|Exercise EXERCISE 6 (G)|13 Videos

Similar Questions

Explore conceptually related problems

If the diagonal BD of a quadrillateral ABCD bisects both angleB and angleD . Prove that (AB)/(BC)= (AD)/(CD) .

Two points X and Y lie on the diagonal BD of a parallelogram ABCD such that DX = BY. Prove that squareAXCY is a parallelogram.

Points M and N are taken on the diagonal AC of a parallelogram ABCD such that AM= CN. Prove that BMDN is a parallelogram.

In Figure, diagonal A C of a quadrilateral A B C D bisects the angles A and C . Prove that A B=A D and C B=CD .

In the figure, diagonal A C of a quadrilateral A B C D bisects the angles A and C . Prove that A B=A D and C B=CD

Prove that the diagonals of a parallelogram bisect each other.

If the diagonals of a parallelogram ABCD are along the lines x+5y=7 and 10x-2y=9 , then ABCD must be a

ABCD is a parallelogram E is mid-point of AB and DE bisects angle D. Prove that BC= BE

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

Diagonal AC of a paraleligram ABCD bisects angleA (sec figure). Show that: (i) it bisects angleC also (ii) ABCD is a rhombus.

ICSE-RECTILINEAR FIGURES-Exercise 14(C )
  1. E is the mid-point of side AB and F is the mid point of side DC of par...

    Text Solution

    |

  2. The diagonal BD of a parallelogram ABCD bisects angles B and D. Prove ...

    Text Solution

    |

  3. The alongside figure shows a parallelogram ABCD in which AE= EF= FC. ...

    Text Solution

    |

  4. The alongside figure shows a parallelogram ABCD in which AE= EF= FC. ...

    Text Solution

    |

  5. The alongside figure shows a parallelogram ABCD in which AE= EF= FC. ...

    Text Solution

    |

  6. In the alongside figure, ABCD is a parallelogram in which AP bisects a...

    Text Solution

    |

  7. In the alongside figure, ABCD is a parallelogram in which AP bisects a...

    Text Solution

    |

  8. In the alongside figure, ABCD is a parallelogram in which AP bisects a...

    Text Solution

    |

  9. In the given figure, ABCD is a parallelogram. Prove that: AB= 2BC

    Text Solution

    |

  10. Prove that the bisectors of opposite angles of a parallelogram are par...

    Text Solution

    |

  11. The bisectors of the angle of a parallelogram enclose a parallelogr...

    Text Solution

    |

  12. Prove that the bisectors of the interior angles of a rectangle form a ...

    Text Solution

    |

  13. In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2...

    Text Solution

    |

  14. In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2...

    Text Solution

    |

  15. Points M and N are taken on the diagonal AC of a parallelogram ABCD su...

    Text Solution

    |

  16. In the following figure, ABCD is a parallelogram. Prove that: AP...

    Text Solution

    |

  17. In the following figure, ABCD is a parallelogram. Prove that: BP ...

    Text Solution

    |

  18. In the following figure, ABCD is a parallelogram. Prove that: ang...

    Text Solution

    |

  19. ABCD is a square. A is joined to a point P on BC and D is joined to a ...

    Text Solution

    |

  20. In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC bisects ...

    Text Solution

    |