Home
Class 9
MATHS
In Fig. . ABCD is a parallelogram and...

In Fig. .

ABCD is a parallelogram and E is the mid-point of side BC. If DE and AB, when produced meet at F, prove that AF = 2AB.

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

In the figure ABCD is a llgm and E is the mid point of BC. Also DE and AB when produced meet at F then

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 .

ABCD is a parallelogram and X is the mid-point of AB. If ar (AXCD) = 24 cm^2 , then ar (ABC) = 24 cm^2 .

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) .

ABCD is a parallelogram E is the mid point of AB and CE bisects angleBCD . Prove that: AE=AD?

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.

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 .

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. ABCD is a square M is the mid point of AB .PQbotCM. PQ meets AD at P a...

    Text Solution

    |

  2. ABCD is a parallelogram. L and M are points on AB and DC respectively ...

    Text Solution

    |

  3. In Fig. . ABCD is a parallelogram and E is the mid-point of side BC...

    Text Solution

    |

  4. In the fig. ABCD is a parallelogram and X,Y and Z the points on diagon...

    Text Solution

    |

  5. In the fig ABCD is a parallelogram in which E and F are mid points of ...

    Text Solution

    |

  6. Prove that the figure formed by joining the points of the adjacent sid...

    Text Solution

    |

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

    Text Solution

    |

  8. In triangleABC, AD is the median through A and E is the mid point of A...

    Text Solution

    |

  9. ABCD is a parallelogram. P is any point on AD, such that AP = 1/3AD an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |