Home
Class 9
MATHS
In a triangle ABC, D is mid-point of BC,...

In a triangle ABC, D is mid-point of BC, AD is produced upto E so that DE = AD. Prove that :
(i) `Delta ABD and Delta ECD` are congruent.
(ii) AB = EC
(iii) AB is parallel to EC.

Text Solution

Verified by Experts

The correct Answer is:
`DeltaABD~=DeltaECD`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ICSE|Exercise 3 MARKS QUESTIONS |11 Videos

  • STATISTICS AND GRAPH WORK

    ICSE|Exercise TOPIC - 2 (4 Marks Questions)|14 Videos

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(B)|50 Videos

Similar Questions

Explore conceptually related problems

In a DeltaABC, D in mid-point of BC, AD is produced upto E so that DE=AD , prove that : (i) DeltaABD and DeltaECD are congruent (ii) AB=EC (iii) AB is parallel to EC.

In a triangle ABC,D is the mid - point of BC, AD is produced upto E so that DE = AD. Prove that : AB=EC

In a Delta ABC , BD is the median to the side AC, BD is produced to E such that BD = DE. Prove that : AE is parallel to BC.

In isosceles triangle ABC, D is a point on the base BC produced. Prove that AD gt AB .

In a triangle ABC, B=90^@ and D is the mid-oint of BC then prove that AC^2=AD^2+3 CD^2

In the given figure, DE // BC. Prove that Delta ADE and Delta ABC are similar

Any point D is taken on the side BC of a Delta ABC and AD is produced to E such that AD = DE , prove that area of Delta BCE = area of Delta ABC ,

In an isosceles triangle ABC, AB = AC and D is a point on BC produced. Prove that : AD^(2)=AC^(2)+BD.CD

In triangle ABC, AB > AC. E is the mid-point of BC and AD is perpendicular to BC. Prove that : AB^2 +AC^2=2AE^2 +2BE^2

In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that : AD = CE.

ICSE-TRIANGLES -4 MARKS QUESTIONS
  1. In a triangle ABC, D is mid-point of BC, AD is produced upto E so that...

    Text Solution

    |

  2. In a triangle ABC,D is the mid - point of BC, AD is produced upto E so...

    Text Solution

    |

  3. In a triangle ABC, D is mid-point of BC, AD is produced upto E so that...

    Text Solution

    |

  4. From the given diagram, in which ABCD is a Parallelogram, ABL is a lin...

    Text Solution

    |

  5. From the given diagram, in which ABCD is a Parallelogram, ABL is a lin...

    Text Solution

    |

  6. From the given diagram, in which ABCD is a Parallelogram, ABL is a lin...

    Text Solution

    |

  7. In the given figure, AB = DB and AC = DC. If angleABD=58^(@),angleDBC=...

    Text Solution

    |

  8. In the following figure, AB = AC and AD is perpendicular to BC. BE bis...

    Text Solution

    |

  9. In the following figure, AB = AC and AD is perpendicular to BC. BE bis...

    Text Solution

    |

  10. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

    Text Solution

    |

  11. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

    Text Solution

    |

  12. In the adjoining figure, OX and RX are the bisectors of the angle Q an...

    Text Solution

    |

  13. In the adjoining figure, OX and RX are the bisectors of the angle Q an...

    Text Solution

    |

  14. In the following figure, OA=OC and AB=BC. Prove that : angleAO...

    Text Solution

    |

  15. In the following figure, OA=OC and AB=BC. Prove that : DeltaAOD...

    Text Solution

    |

  16. In the following figure, OA=OC and AB=BC. Prove that : AD=CD

    Text Solution

    |

  17. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |

  18. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |

  19. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |

  20. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |