Home
Class 9
MATHS
Prove that the line joining the mid poin...

Prove that the line joining the mid points of the diagonals of a trapezium is parallel to the parallel sides of the trapezium.

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    MODERN PUBLICATION|Exercise EXERCISE|133 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|45 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|239 Videos

Similar Questions

Explore conceptually related problems

Show that the line joining the mid points of two sides of a triangle is parallel to the third side.

Show that the st. Line joining the mid-points of two non-parallel sides of a trapezium is parallel to the bases and is equal to half of the sum of their lengths.

Using converse of Basic Proportionality theorem prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).

Using Theorem 6.2, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).

The line-segment joining the mid-points of two sides of a triangle is parallel to the third side and ............. Of it.

The figure formed by joining the mid points of the adjacent sides of a paralellgoram s

Restate the following statement with appropriate conditions, so that they become true statement: A line joining two mid-points on two sides of a triangle is parallel to the third side.

Using Basic Proportionality theorem, prove thata line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in class IX).

Prove that the figure formed by joining the mid-points of the pairs of consecutive sides of a quadrilateral is a parallelogram.

MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. P is the mid point of side AB of a parallelogram ABCD. A line through ...

    Text Solution

    |

  2. P is the mid point of side AB of a parallelogram ABCD. A line through ...

    Text Solution

    |

  3. Prove that the line joining the mid points of the diagonals of a trape...

    Text Solution

    |

  4. In the fig. two points A and B in on the same side of a line XY. If AD...

    Text Solution

    |

  5. In the fig. ABCD is a trapezium in which AB||DC and AD=BC. IF P,Q,R,S ...

    Text Solution

    |

  6. ABCD is a trapezium in which AB||DC and let E be the mid point of AD. ...

    Text Solution

    |

  7. ABCD is a trapezium in which AB||DC and let E be the mid point of AD. ...

    Text Solution

    |

  8. In the fig points M and N divide AB of triangleABC into three equal pa...

    Text Solution

    |

  9. Prove that any line segment drawn from the vertex of a trianlge to the...

    Text Solution

    |

  10. The figure obtained by joining the midpoints of the sides of a rhombus...

    Text Solution

    |

  11. Diagonals of the parallelogram bisect each other at right angles...

    Text Solution

    |

  12. Name the quadrilateral formed in which two parallel of adjacent sides ...

    Text Solution

    |

  13. In a quadrilateral PQRS, angleP+angleS=180^@. Name the type of quadril...

    Text Solution

    |

  14. In a parallelogram PQRS, write the sum angles of P and Q.

    Text Solution

    |

  15. ABCD is a rectangle with angleBCA=34^@ find angleDBC.

    Text Solution

    |

  16. The perimeter of a parallelogram is 24 cm. if the large side measures ...

    Text Solution

    |

  17. In quadrilateral ABCD, AP and BP are bisector of angleA and angleB res...

    Text Solution

    |

  18. If three angles of a quadrilateral are 110^@,65^@ and 105^@ then find ...

    Text Solution

    |

  19. Opposite angles of a quadrilateral ABCD are equal. If AB=4 cm determin...

    Text Solution

    |

  20. Can all the angles of a quadrilateral be right angles? Give reasons fo...

    Text Solution

    |