Home
Class 9
MATHS
Given a DeltaABD in which AB=AD and AC b...

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

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

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: DeltaADB~=DeltaADC

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is a median. Prove that: DeltaADB~=DeltaADC

In the adjoining figure, AD = DC and bisects angleADC . Prove that DeltaADB cong DeltaCDB .

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.

In the given figure, AB = AD and angle1=angle2 . Prove that : DeltaABC~=DeltaADC

In the given figure,AB||EC,AB=AC and AE bisects /_DAC. Prove that:

In the given figure, DeltaABC is an isosceles triangle in which AB=AC and AE bisects angleCAD . Prove that AE||BC .

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

ABCD is a quadrilateral in which AD = BC and /_DAB = /_CBA Prove that (i) DeltaABD ~= DeltaBAC (ii) BD = AC (iii) /_ ABD = /_BAC

In the given figure, AB = AC and AD = AE. Prove that: DeltaABD~=DeltaACE

NAGEEN PRAKASHAN-TRIANGLES-Exercise 7a
  1. In the given figure, AB=DB and AC=DC. If angleABD=58^(@), DeltaDBC=2x-...

    Text Solution

    |

  2. BD is the disector of angle ABC. From a point P in BD, perpendiculars ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |