Home
Class 7
MATHS
In the adjoining figure, DeltaABC is an ...

In the adjoining figure, `DeltaABC` is an isosceles triangles in which AB=AC and AD is a median. Prove that :
(i) `DeltaADB~=DeltaADC`
(ii) `angleBAD=angleCAD`

Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE

    ICSE|Exercise EXERCISE 21|23 Videos
  • ALGEBRAIC EXPRESSIONS

    ICSE|Exercise EXERCISE 13B |37 Videos
  • CONGRUENCE OF TRIANGLES

    ICSE|Exercise Try this|12 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, DeltaABC is an isosceles triangles in which AB=AC and AD is the bisector of angleA . Prove that : (i) DeltaADB~=DeltaADC (ii) angleB=angleC (iii) BD=DC (iv) ADbotBC

In the adjoining figure, DeltaABC is an isosceles triangle in which AB=AC. If BMbotAC and CNbotAB , prove that : (i) DeltaBMC~=DeltaCNB (ii) BM=CN

ABC is an isosceles triangle with AB =AC and BD,CE are its two medians. Show that BD=CE .

ABC is a triangle in which AB = AC and D is any point on BC. Prove that: AB^(2)- AD^(2) = BD. CD

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

In the adjoining figure, ABC is a triangle right-angled at vertex A and AD is altitude. Prove that : Delta ABD is similar to DeltaCAD .

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

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC. Side CP is parallel to AB and AP is the bisector of exterior angle CAD of Delta ABC. Prove that anglePAC=angleBCAand squareABCP is a parallelogram.

(i) In the given figure, DeltaABC is an isosceles triangle in which AB=AC and /_A=50^(@) . Find the measure of /_B and /_C . (ii) In the given figure, DeltaPQR ia an isosceles triangle in which PQ=PR and /_Q=70^(@) . Find /_P .

The given figure shows a Delta ABC in which AB =AC and BP =CQ . Prove that : (i) Delta ABQ ~= Delta ACP . (ii) Delta APQ is isosceles.

ICSE-CONGRUENCE-EXERCISE 21
  1. State the condition (SSS or SAS or ASA or RHS) under which DeltaABC~=D...

    Text Solution

    |

  2. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  3. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  4. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  5. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  6. State giving reasons, which of the following are pairs of congruent tr...

    Text Solution

    |

  7. State giving reasons, whether the following pairs of triangles are con...

    Text Solution

    |

  8. State giving reasons, whether the following pairs of triangles are con...

    Text Solution

    |

  9. State giving reasons, whether the following pairs of triangles are con...

    Text Solution

    |

  10. State giving reasons, whether the following pairs of triangles are con...

    Text Solution

    |

  11. In the given figure, AB=CD and AD=CB. Prove that : (i) DeltaABD=Delt...

    Text Solution

    |

  12. In the given figure, angleSPR=angleQRP and angleRSP=anglePQR. Prove th...

    Text Solution

    |

  13. In the given figure we have AO=BO and CO=DO. Prove that : (i) DeltaA...

    Text Solution

    |

  14. In the given figure, ABbotBD,CDbotBD and AB=CD. Prove that : (i) Del...

    Text Solution

    |

  15. In the given figure, PLbotOA and PMbotOB such that OL=OM. Prove that :...

    Text Solution

    |

  16. In the given figure, we have PQ=SR and PR=SQ. Prove that : (i) Delta...

    Text Solution

    |

  17. In the given figure, we have ACbotCD,BCbotCD and DA=DB. Prove that : C...

    Text Solution

    |

  18. In the adjoining figure, DeltaABC is an isosceles triangles in which A...

    Text Solution

    |

  19. In the adjoining figure, DeltaABC is an isosceles triangles in which A...

    Text Solution

    |

  20. In the adjoining figure, DeltaABC is an isosceles triangle in which AB...

    Text Solution

    |