Home
Class 10
MATHS
If E is a point on side AD produced of ...

If E is a point on side AD produced of a parallelogram ABCD and BE intersects CD at F . Prove that `DABE~DCFB` .

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA|Exercise All Questions|417 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F.Show that DeltaABE~DeltaCFB .

E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F . Show that DeltaABE~DeltaCFB .

E si a point on side AD produced of a parallelogram ABCD and BE intersects DC at F. prove that triangleABE ~ triangleCFB .

E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that DeltaA B E DeltaC F B .

The side AD of parallelogram ABCD is produced to a point E. BE intersects CD at F. Show that Delta ABE~ Delta CFB .

A point E is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Prove that ar(DeltaADF) = ar (ABFC) .

The sides AB and CD of a parallelogram ABCD are bisected at E and F. Prove that EBFD is a parallelogram.

ABCD is a trapezium with AB || DC. E is midpoint of side AD. From point E a line is drawn parallel to AB that intersects BC at F. Show that F is midpoint of BC.

Through the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn intersecting AC at L and AD produced at E . Prove that EL=2BL.

In figure, P is the mid-point of side BC of a parallelogram ABCD such that angleBAP=angleDAP . Prove that AD = 2CD. ltBrgt

RD SHARMA-TRIANGLES-All Questions
  1. In a A B C ,\ \ B D and C E are the altitudes. Prove that A D B a...

    Text Solution

    |

  2. In Fig. 4.116, A B C D is a trapezium with A B D C . If A E D ...

    Text Solution

    |

  3. If E is a point on side AD produced of a parallelogram ABCD and BE in...

    Text Solution

    |

  4. In Fig. 4.121, A B C is a right triangle right angled at B and D...

    Text Solution

    |

  5. In Fig. 4.122, A D and B E are respectively perpendiculars to B ...

    Text Solution

    |

  6. In Fig. 4.124, E is a point on side C B produced of an isosce...

    Text Solution

    |

  7. In Fig. 4.125, F E C~= G B D and /1=/2 . Prove that A D E A ...

    Text Solution

    |

  8. In Fig. 4.126, (O A)/(O C)=(O D)/(O B) . Prove that /A=/C and /B...

    Text Solution

    |

  9. In Fig. 4.128, D E F G is a square and /B A C=90o . Prove tha...

    Text Solution

    |

  10. In A B C ,\ \ D E is parallel to base B C , with D on A B and E on...

    Text Solution

    |

  11. In Fig. 4.132, if A D|B C and (B D)/(D A)=(D A)/(D C) , prove th...

    Text Solution

    |

  12. In Fig. 4.133, if A B E~= A C D , prove that A D E A B C . (...

    Text Solution

    |

  13. In Fig. 4.134, /A C B=90o and C D|A B . Prove that (C B^2)/(C A^...

    Text Solution

    |

  14. In Fig. 4.136, A C B A P Q . If B C=8c m , P Q=4c m , B A=6. 5 c...

    Text Solution

    |

  15. A vertical stick 10 cm long casts a shadow 8 cm long. At the same t...

    Text Solution

    |

  16. In Fig. 4.137, A B Q R . Find the length of P B . (FIGURE)

    Text Solution

    |

  17. In Fig. 4.138, X Y B C . Find the length of X Y .

    Text Solution

    |

  18. In a right angled triangle with sides a and b and hypotenuse c ,...

    Text Solution

    |

  19. In Fig. 4.139, /A B C=90o and B D|A C . If B D=8c m , A D=4c m , fi...

    Text Solution

    |

  20. In Fig. 4.140, /A B C=90o and B D|A C . If A B=5. 7 c m , B D=3. 8\...

    Text Solution

    |