Home
Class 9
MATHS
A point E is taken on the side BC of a p...

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)`.

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

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

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise (short Answer Questions)|10 Videos

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|12 Videos

  • CIRCLE

    NAGEEN PRAKASHAN|Exercise Revision Exercise (long Answer Questions )|5 Videos

Similar Questions

Explore conceptually related problems

M is a point on the side BC of a parallelogram ABCD. DM when produced meets AB produced at N. Prove that (i) (DM)/(MN)=(DC)/(BN)" " (ii) (DN)/(DM)=(AN)/(DC)

If E is a point on side AD produced of a parallelogram ABCD and BE intersects CD at F . Prove that DABE^(-)DCFB

ABCD is a parallelogram. X and Y are mid-points of BC and CD. Prove that ar(triangleAXY)=3/8ar(||^[gm] ABCD)

In figure, ABCD and AEFD are two parallelograms. Prove that ar (DeltaPEA) = ar (DeltaQFD) .

In the figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that ar( Delta AEDF) = ar( Delta ABCDE)

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar( Delta AOD) = ar( Delta BOC).

P is the mid-point of the side CD of a parallelogram ABCD. A line through C parallel to PA intersects AB at Q and DA produced at R. Prove that DA = AR and CQ = QR.

A point D is taken on the side BC of a DeltaABC such that BD = 2DC. Prove that ar(DeltaABD) = 2 ar (DeltaADC)

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

In the given figure, ABCD is a parallelogram and E is the midpoint of side BC. If DE and AB when produced meet at F, prove that AF = 2AB.

NAGEEN PRAKASHAN-AREA OF PARALLELOGRAMS AND TRIANGLES-Exercise
  1. In the adjoning figure, ABCD is a parallelogram. Prove that : area of ...

    Text Solution

    |

  2. In a quadrilateral ABCD, AM and CN are perpendiculars from the vertice...

    Text Solution

    |

  3. In the adjoining figure, ABCD is a quadrilateral in which AD ||BC. AC ...

    Text Solution

    |

  4. D is a point on the base BC of Delta ABC.AD is produced upto E such th...

    Text Solution

    |

  5. In the adjoining figure, D is the mid-point of side AB of Delta ABC an...

    Text Solution

    |

  6. In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ (...

    Text Solution

    |

  7. In parallelogram ABCD, P is a point on side AB and Q is a point on sid...

    Text Solution

    |

  8. In the given figure, M and N are the mid-points of the sides DC and AB...

    Text Solution

    |

  9. ABCD and BCFE are parallelgorams. If area of triangle EBC = 480 cm^(2)...

    Text Solution

    |

  10. The given figure shows a pentagon ABCDE.EG drawn parallel to DA meets ...

    Text Solution

    |

  11. In the given figure, AP is parallel to BC, BP is parallel to CQ. Prove...

    Text Solution

    |

  12. The following figure shows two paralelograms ABCD and ABEF prove that ...

    Text Solution

    |

  13. The side AB of a parallelogram ABCD is produced to any point E. A line...

    Text Solution

    |

  14. A point E is taken on the side BC of a parallelogram ABCD. AE and DC a...

    Text Solution

    |

  15. In the following figure, AP||PS||QR and PQ||DB||SR, prove that area of...

    Text Solution

    |

  16. O is any point on the diagonal B D of the parallelogram A B C Ddot Pro...

    Text Solution

    |

  17. D is the mid-point of side AB of the triangle ABC.E is the mid-point o...

    Text Solution

    |

  18. In triangle ABC,E and F are the mid-point of sides AB and AC respectiv...

    Text Solution

    |

  19. ABCD is a parallelogram. P and Q are the mid-point of sides AB and AD ...

    Text Solution

    |

  20. In the given figure, squares ABDE and AFGC are drawn on the side AB an...

    Text Solution

    |