Home
Class 9
MATHS
In triangleABC,E and F are mid-points od...

In `triangleABC`,E and F are mid-points od sides AB and AC respectively. If BF and CE intersect each other at point O, prove that the `DeltaOBC` and quadrilateral AEOF are equal in area.

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

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

  • AREA OF PARALLELOGRAMS AND TRIANGLES

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

  • AREA OF PARALLELOGRAMS AND TRIANGLES

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

  • CIRCLE

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

Similar Questions

Explore conceptually related problems

In Delta ABC, D,E and F are mid-point of sides AB ,BC and AC respectively , Prove that AE and DF bisect each other.

In Delta ABC, AB = AC. D , E and F are mid-points of the sides BC, CA and AB respectively . Show that : AD and FE bisect each other.

In triangle ABC, D and E are mid-points of sides AB and BC respectively. Also, F is a point in side AC so that DF is parallel to BC (i) Prove that DBEF is a parallelogram.

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF

In a parallelogram ABCD, E and F are the mid-points of sides BC and AD respectively. Show that the line segment BF and ED trisect the diagonal AC.

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: BDEF is a parallelogram.

M and N are the mid-points of two equal chords AB and CD respectively of a circle with centre O. Prove that : angleAMN = angleCNM .

In Delta ABC ,D is a point in side AB and E is a point in AC. If DE is parallel to BC, and BE and CD intersect each other at point 0, prove that: " area " (Delta OBD) = " area " (Delta OCE)

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: area of BDEF is half the area of Delta ABC.

In a trapezium ABCD, side AB is parallel to side DC, and the diagonals AC and BD intersect each other at point P. Prove that : DeltaAPB is similar to DeltaCPD .

NAGEEN PRAKASHAN ENGLISH-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. Any point D is taken on the side BC of a Delta ABC and AD is produce...

    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 ponit 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 parallelograms. If area of triangle EBC=480cm^(2), A...

    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 A B of a parallelogram A B C D is produced to any point...

    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, AC||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 D. Prove...

    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 triangleABC,E and F are mid-points od sides AB and AC respectively....

    Text Solution

    |

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

    Text Solution

    |

  20. In the figure given alongside, squares ABDE and AFGC are drawn on the ...

    Text Solution

    |