Home
Class 10
MATHS
In a trapezium, prove that the line join...

In a trapezium, prove that the line joining the midpoints of non - parallel sides are parallel to the parallel sides of the trapezium.

Text Solution

Verified by Experts

The correct Answer is:
`EF || DC`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-1 BASIC PROPORTIONALITY THEOREM (VERY SHORT ANSWER TYPE QUESTIONS)|17 Videos

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-1 BASIC PROPORTIONALITY THEOREM (LONG ANSWER TYPE QUESTIONS-(II))|6 Videos

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-1 BASIC PROPORTIONALITY THEOREM (SHORT ANSWER TYPE QUESTIONS)|19 Videos

  • SURFACE AREA AND VOLUMES

    OSWAAL PUBLICATION|Exercise EXERCISE 15.5|5 Videos

Similar Questions

Explore conceptually related problems

Parallelism is

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

What are parallel forces ?

Using Theorem , prove that a line drawn thought 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 tangents to a circle at the end points of a diameter are parallel.

What are parallel vectors ?

Prove that the tangents drawn at the ends of a diameter fo a circle are parallel .

Write the equation of three lines that are (i) parallel to the X-axis (ii) parallel to the Y-axis

OSWAAL PUBLICATION-TRIANGLES-TOPIC-1 BASIC PROPORTIONALITY THEOREM (LONG ANSWER TYPE QUESTIONS)
  1. In the trapezium ABCD, AB || DC and Delta ARD - Delta BEC. Then Prove ...

    Text Solution

    |

  2. If a straight line divdes two sides of a triangle proportionally, then...

    Text Solution

    |

  3. In a trapezium, prove that the line joining the midpoints of non - par...

    Text Solution

    |

  4. In a trapezium ABCD, AB || CD If OA = 3x - 19 OC = 3 - 5 BO = x ...

    Text Solution

    |

  5. Find the unknown values is each of the following figures. All lengths ...

    Text Solution

    |

  6. In Delta ABC, D and E are points in the sides AB and AC respectively s...

    Text Solution

    |

  7. E and F are points on the sides PQ and PR respectively of Delta PQR....

    Text Solution

    |

  8. In the figure, PC || QK and BC || HK. If AQ = 6 cm, QH = 4 cm, HP = 5 ...

    Text Solution

    |

  9. In the figure, PR || RC and QR || BD. Prove that PQ || CD.

    Text Solution

    |

  10. In Delta ABC, DE || BC and CD || EF. Prove that AD^(2) = AF xx AB

    Text Solution

    |

  11. If the diagonals of a quadrilateral divide each other proportionally, ...

    Text Solution

    |

  12. In the given figure, (SP)/(SQ)= (PT)/(TR) and / PST = /PRQ. Prove that...

    Text Solution

    |

  13. In a Delta ABC, let P and Q be points on AB and AC respectively such t...

    Text Solution

    |

  14. Throught the mid-point M of the sides of a parallelogram ABCD, the li...

    Text Solution

    |

  15. Prove that the two madians of a triangle divide each other in the rati...

    Text Solution

    |

  16. In the given figure / ABD = /BDC and CD = 4AB. Show that BD =5BE.

    Text Solution

    |