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

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

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 s a trapezium in which AB||CD and AD=BC diagonal AC=diagonal BD

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

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.

ABCD s a trapezium in which AB||CD and AD=BC Show that: angleA=angleB

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 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.

In the fig. ABCD is paralllelogram and E is the mid point of AD. A line through D, drawn parallel to EB, meets AB produced at F and BC at L. prove that AF=2DC

In the fig. ABCD is paralllelogram and E is the mid point of AD. A line through D, drawn parallel to EB, meets AB produced at F and BC at L. prove that DF=2DL.

MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. ABCD is a trapezium, in which AB||DC are a diagonal and E is the mid p...

    Text Solution

    |

  2. Three angles of a quadrilteral are respectively 50^@ and 110^@ and 100...

    Text Solution

    |

  3. The angle of a quadrilateral are in the ratio 2: 4: 5: 7. find the ang...

    Text Solution

    |

  4. In the quad. ABCD is a point inside it. Find that OA+OB+OC+OD>AC+BD.

    Text Solution

    |

  5. In the fig. BLbotAC and DMbotAC. If BL=LM prove that AC bisects BD

    Text Solution

    |

  6. In the fig. ABCD is a square and anglePQR=90^@ PB=QC=DR, prove that:QB...

    Text Solution

    |

  7. In the fig. ABCD is a square and anglePQR=90^@ PB=QC=DR, prove that:PQ...

    Text Solution

    |

  8. In the fig. ABCD is a square and anglePQR=90^@ PB=QC=DR, prove that:an...

    Text Solution

    |

  9. ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prov...

    Text Solution

    |

  10. ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prov...

    Text Solution

    |

  11. A diagonal of a rectangle is inclined to one side of the rectangle at ...

    Text Solution

    |

  12. In a parallelogram, prove that sum of any two consecutive angles is 18...

    Text Solution

    |

  13. If an angle of a parallelogram is two thid of its adjacent angle, find...

    Text Solution

    |

  14. In the fig. ABCD is a parallelogram in which angleDAB=60^@ and angleDB...

    Text Solution

    |

  15. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

    Text Solution

    |

  16. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

    Text Solution

    |

  17. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

    Text Solution

    |

  18. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

    Text Solution

    |

  19. The diagonals of a rhombus are perpendicular to each other .

    Text Solution

    |

  20. The diagonals of a rectangle ABCD meet at o and angleBOC=44^@ and find...

    Text Solution

    |

  21. ABCD is a rectangle with angleABD=40^@ determine angleDBC.

    Text Solution

    |