Home
Class 9
MATHS
ABCD is a parallelogram E is the mid poi...

ABCD is a parallelogram E is the mid point of AB and CE bisects `angleBCD`. Prove that:
`angleDEC=90^@`

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

ABCD is a parallelogram E is the mid point of AB and CE bisects angleBCD . Prove that: DE bisects angleADC

In the fig ABCD is a parallelogram in which E and F are mid points of AB and CD respectively. Prove that the line segments CE and AF intersect diagonal BD

ABCD is a parallelogram. L and M are points on AB and DC respectively and AL = CM. Prove that LM and BD bisect each other.

ABCD is parallelogram. X and Y are the mid-points of BC and CD respectively. Prove that ar (DeltaAXY) =3/8 ar (||)^(gm) ABCD .

ABCD is parallelogram. X and Y are the mid-points of BC and CD respectively. Prove that ar (DeltaAXY) =3/8 ar (||gm ABCD) .

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.

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.

In a parallelogram ABCD, the bisector of /_A also bisects BC at X. Prove that AD = 2AB.

ABCD is a parallelogram . If P and Q are the mid-points of [BC] and [CD] respectively, show that vec AP + vec AQ=

MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. ABCD is a parallelogram E is the mid point of AB and CE bisects angleB...

    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

    |