Home
Class 9
MATHS
Show that the diagonals of a parallelogr...

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    SWAN PUBLICATION|Exercise EXERCISE 9.4|21 Videos
  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    SWAN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS |20 Videos
  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    SWAN PUBLICATION|Exercise EXERCISE 9.2|8 Videos
  • CIRCLES

    SWAN PUBLICATION|Exercise Objective Type Questions (Fill in the Blanks :)|10 Videos

Similar Questions

Explore conceptually related problems

A diagonal of parallelogram divides it into four triangles of equal area.

Show that a median of a triangle divides it into two triangles of equal areas.

If each diagonal of a quadrilateral separated it into two triangles of equal area, then show that quadrilateral is a parallelogram.

Diagonals of the parallelogram bisect each other at right angles .

Fill in the Blanks: A diagonal of || gm divides it into two triangles of ________ area.

Prove, by vector method, that the diagonals of a parallelogram bisect each other, conversely, if the diagonals of a quadrilateral bisect each other, it is a parallelogram.

SWAN PUBLICATION-AREAS OF PARALLELOGRAMS AND TRIANGLES -EXERCISE 9.3
  1. In Fig ., E is any point on median AD of a DeltaABC . Show tha...

    Text Solution

    |

  2. E is any point on median AD of a triangle ABC . Show that ar (ABE) = a...

    Text Solution

    |

  3. Show that the diagonals of a parallelogram divide it into four triangl...

    Text Solution

    |

  4. In Fig ., ABC and ABD are two triangles on the same base AB ....

    Text Solution

    |

  5. D, E and F are respectively the mid-points of the sides BC, CA and AB ...

    Text Solution

    |

  6. D, E and F are respectively the mid-points of the sides BC, CA and AB ...

    Text Solution

    |

  7. D, E and F are respectively the mid-points of the sides BC, CA and AB ...

    Text Solution

    |

  8. In Fig ., diagonals AC and BD of quadrilateral ABCD intrsect at...

    Text Solution

    |

  9. In Fig ., diagonals AC and BD of quadrilateral aBCD intrsect at...

    Text Solution

    |

  10. In Fig ., diagonals AC and BD of quadrilateral ABCD intrsect at...

    Text Solution

    |

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

    Text Solution

    |

  12. XY is a line parallel to side BC of triangle ABC. If BE II AC and CF I...

    Text Solution

    |

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

    Text Solution

    |

  14. In the figure. ABCD in a trapezium in which AB||DC. Proe that ar(trian...

    Text Solution

    |

  15. In Fig ., ABCDE is a pentagon . A line through B parallel to ...

    Text Solution

    |

  16. In Fig ., ABCDE is a pentagon . A line through B parallel to ...

    Text Solution

    |

  17. Find the area of a square plot of side 8m.

    Text Solution

    |

  18. ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB...

    Text Solution

    |

  19. In Fig ., AP||BQ ||CR . Prove that ar (DeltaPBR) = ar (DeltaAQC)

    Text Solution

    |

  20. Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a w...

    Text Solution

    |