Home
Class 9
MATHS
In a tringle ABC, AB = AC and bisector o...

In a tringle ABC, AB = AC and bisector of angle A meets BC at D. Prove that :
(i) `DeltaABD cong DeltaACD` (ii) `AD` is perpendicular to BC.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7b|17 Videos

  • TRIANGLES

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

  • TRIANGLES

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

  • SURFACE AREA AND VOLUME

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

Similar Questions

Explore conceptually related problems

ABC is a right triangle with AB = AC .If bisector of angle A meet BC at D then prove that BC = 2 AD .

In a triangle ABC , AB = AC and angle A = 36^(@) If the internal bisector of angle C meets AB at D . Prove that AD = BC.

Given a DeltaABD in which AB=AD and AC bisects BD . Prove that : DeltaABC cong DeltaADC .

In Delta ABC , AB = AC and the bisectors of angles B and C intersect at point O. Prove that : (i) BO = CO (ii) AO bisects angle BAC.

In the given figure AB=AC and AD=AE. Prove that (i) DeltaABD~=DeltaACE and (ii) BE=DC

In triangle ABC, AB gt AC and D is a point in side BC. Show that : AB gt AD .

In triangle ABC, AB gt AC and D is a point in side BC. Show that : AB gt AD .

In a quadrilateral ABCD, AB = AD and CB = CD. Prove that : (i) AC bisects angle BAD (ii) AC is perpendicular bisector of BD.

In the adjoining figure AB = CD and AB"||"CD prove that : (i) DeltaAOB cong DeltaDOG (ii) AD and BC bisect each other at point O.

In parallelogram ABCD, the bisector of angle A meets DC at P and AB = 2AD. Prove that : (i) BP bisects angle B. (ii) Angle APB = 90^(@)

NAGEEN PRAKASHAN ENGLISH-TRIANGLES-Exercise 7a
  1. BD is the disector of angle ABC. From a point P in BD, perpendiculars ...

    Text Solution

    |

  2. Given a DeltaABD in which AB=AD and AC bisects BD. Prove that : Delt...

    Text Solution

    |

  3. In a tringle ABC, AB = AC and bisector of angle A meets BC at D. Prove...

    Text Solution

    |

  4. In quadrilateral ABCD, AB=DC and AD=BC. Prove that the sides AB and DC...

    Text Solution

    |

  5. In DeltaABC, AB = AC and the bisectors of angleB and angleC meet AC an...

    Text Solution

    |

  6. In DeltaABC, angleB= angleC. Prove the perpendiculars from the mid-poi...

    Text Solution

    |

  7. Find the value of x and y in each of the following figures containing ...

    Text Solution

    |

  8. In the adjoining figure, angleBAC=angleBDC and angleABC=angleBCD. Prov...

    Text Solution

    |

  9. In the adjoining figure, ABCD is a quadrilateral. M and N are the poin...

    Text Solution

    |

  10. Given AD=DC and DB biscets angleADC. (i) Prove that, DeltaADB cong D...

    Text Solution

    |

  11. The adjoining figure shows a square ABCD and an equilateral triangle D...

    Text Solution

    |

  12. Equilateral triangles ABD and ACE are drawn on sides AB and AC respect...

    Text Solution

    |

  13. The following figure shows a square ABCD and an equilateral triangle D...

    Text Solution

    |

  14. The given figure shows a parallelogram ABCD. Squares ABPQ and ADRS are...

    Text Solution

    |

  15. In a Delta ABC, BD is the median to the side AC, BD is produced to E s...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |