Home
Class 9
MATHS
ABCD is a trapezium in which AB||DC and ...

ABCD is a trapezium in which AB||DC and let E be the mid point of AD. Let F be a point on BC such that EF||AB. Prove that

F is mid point of BC.

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

ABCD is a trapezium in which AB||DC and let E be the mid point of AD. Let F be a point on BC such that EF||AB. Prove that EF=1/2(AB+DC)

ABCD s a trapezium in which AB||CD and AD=BC angleC=angleD

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If DQ and AB when produced meet at E, prove that PQ ||DC .

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If CP and BA when produced meet at E, prove that PQ ||DC .

ABCD is a trapezium, in which AB||DC are a diagonal and E is the mid point of AD. A is drawn through E, parallel to AB intersect BC at F. Show that F is the mid point of BC

ABCD is a trapezium in which AB || DC . M and N are the mid-points of AD and BC respectively. If AB = 12 cm, and MN = 14 cm, find CD.

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If CP and BA when produced meet at E, prove that PQ=1/2(AB+DC) .

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If CP and BA when produced meet at E, prove that PQ=1/2(AB+DC) .

In Fig. , ABCD is a parallelogram in which P is the mid-point of DC and Q is a point on AC such that CQ = 1/4AC . If PQ produced meets BC at R, prove that R is a mid-point of BC.

MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. In the fig. two points A and B in on the same side of a line XY. If AD...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. In a parallelogram PQRS, if angleS=125^@, find the measure of angleP.

    Text Solution

    |

  19. If the angles of a quadrilateral are in the ratio 3:5:9:13 , then find...

    Text Solution

    |

  20. In a parallelogram PQRS, angleP=(3x-20)^@,angleQ=(y+15)^@,angleR=(x+40...

    Text Solution

    |