Home
Class 9
MATHS
The line drawn through the mid-points of...

The line drawn through the mid-points of one side of a triangle, parallel to another side, intersects the third side at its midpoint.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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).

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

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

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).

Sum of any two sides of a triangle is greater than the third side.

ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that D is the mid-point of AC.

MBD-Quadrilaterals-Exercise
  1. In Fig. ABCD is a parallelogram in which /A = 60^@. If the bisector o...

    Text Solution

    |

  2. PQRS is a parallelogram. PX and QY are respectively, the perpendicular...

    Text Solution

    |

  3. The line drawn through the mid-points of one side of a triangle, paral...

    Text Solution

    |

  4. If there are three parallel lines, and the intercepts made by them on ...

    Text Solution

    |

  5. ABCD is a quadrilateral in which P, Q, R and S are the mid-points of s...

    Text Solution

    |

  6. ABCD is a quadrilateral in which P, Q, R and S are the mid-points of s...

    Text Solution

    |

  7. ABCD is a quadrilateral in which P, Q, R and S are the mid-points of s...

    Text Solution

    |

  8. ABCD is a rhombus and P, Q, R, S are the mid-points of AB, BC, CD and ...

    Text Solution

    |

  9. ABCD is a rectangle and P, Q, R and S are the mid-points of the sides ...

    Text Solution

    |

  10. ABCD is a trapezium with AB II DC, E and F are paints on non-parallel ...

    Text Solution

    |

  11. Match the following : .

    Text Solution

    |

  12. Show that the line segments joining the mid-points of opposite sides o...

    Text Solution

    |

  13. ABC is a triangle right angled at C. A line through the mid-point M of...

    Text Solution

    |

  14. ABC is a triangle right angled at C. A line through the mid-point M of...

    Text Solution

    |

  15. ABC is a triangle right angled at C. A line through the mid-point M of...

    Text Solution

    |

  16. Prove that the figure formed by joining the mid-points of the pairs of...

    Text Solution

    |

  17. In a triangle, P, Q and R are mid-points of sides BC, CA and AB respec...

    Text Solution

    |

  18. In a DeltaABC median AD is produced to X such that AD = DX. Prove that...

    Text Solution

    |

  19. In Fig. M, N and P are the mid-points of AB, AC and BC respectively....

    Text Solution

    |

  20. ABCD is a trapezium in which AB || DC. M and N are the mid-points of A...

    Text Solution

    |