Home
Class 9
MATHS
ABCD is a parallelogram whose diagonals ...

ABCD is a parallelogram whose diagonals intersect at E. AC is produced to F such that CF = AE Prove that ar `(DeltaBDF)` = ar `(|| gm ABCD)`.

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|83 Videos

  • CIRCLES

    MODERN PUBLICATION|Exercise EXERCISE|94 Videos

Similar Questions

Explore conceptually related problems

ABCD is trapezium in which AB||DC . DC is produced to E such that CE = AB, prove that ar(triangleABD) = ar(triangleBCE)

ABCD is a parallelogram. The circle through A, B and C intersect CD (produced if necessary) at E. Prove that AE = AD.

ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, show that: ar(BPC) = ar(DPQ)

ABCD is a parallelogram and a line through A meets DC at P and BC (produced) at Q. Prove that ar(triangleBPC) = ar(triangleDPQ)

ABCD is a parallelogram. AB is produced to E, so that BE = AB. Prove that ED bisects BC.

ABCD is a parallelogram in which BC is produced to E such that CE =BC. AE intersects CD at F. If ar(DFB) = 3cm^2 , find the area of the parallelogram ABCD.

ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prove that: (AB+BC+CD+DA)>(AC+BD)

ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prove that: (AB+BC+CD+DA)>2(AC+BD)

In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle. Also, AL bot DC . Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = DC × AL

ABCD is a parallelogram E is the mid point of AB and CE bisects angleBCD . Prove that: AE=AD?

MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. In a quad. ABCD it is given that BD = 16 cm. If AL bot BD and CM bot B...

    Text Solution

    |

  2. ABCD is a parallelogram whose diagonals intersect at E. AC is produced...

    Text Solution

    |

  3. ABCD is a parallelogram whose diagonals intersect at E. AC is produced...

    Text Solution

    |

  4. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  5. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  6. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  7. In fig. ABCD and AEFG are two parallelograms. If angleC=55^@ and deter...

    Text Solution

    |

  8. ABCD and AEFD are two parallelograms Prove that: ar(triangleAPE) : a...

    Text Solution

    |

  9. In Fig. ABCD is a parallelogram. Prove that ar (DeltaACP) = ar (Del...

    Text Solution

    |

  10. In triangleABC, it L and M are points on AB and AC respectively such t...

    Text Solution

    |

  11. In triangleABC, it L and M are points on AB and AC respectively such t...

    Text Solution

    |

  12. D and E are points on sides AB and AC respectively of DeltaABC such th...

    Text Solution

    |

  13. D and E are points on sides AB and AC respectively of DeltaABC such th...

    Text Solution

    |

  14. ABCD is parallelogram. X and Y are the mid-points of BC and CD respect...

    Text Solution

    |

  15. PQRS and PABC are two parallelograms of equal area. Prove that QC||BR

    Text Solution

    |

  16. Two parallelograms ABCD and AEFB are drawn on opposite sides of AB. Pr...

    Text Solution

    |

  17. A man who had a plot in the shape of a parallelogram divided it into t...

    Text Solution

    |

  18. A man who had a plot in the shape of a parallelogram divided it into t...

    Text Solution

    |

  19. A man who had a plot in the shape of a parallelogram divided it into t...

    Text Solution

    |

  20. In a class, the teacher gave two simiar cardboard pieces which are in ...

    Text Solution

    |