Home
Class 8
MATHS
P and Q are the points of trisection of ...

P and Q are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CQ is parallel to AP.

Promotional Banner

Topper's Solved these Questions

  • SPECIAL TYPES OF QUADRILATERALS

    ICSE|Exercise EXERCISE|22 Videos

  • SETS

    ICSE|Exercise EXERCISE 6( E)|11 Videos

  • SQUARES AND SQUARE ROOTS

    ICSE|Exercise Exercise3 (C )|16 Videos

Similar Questions

Explore conceptually related problems

M and N are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CN is parallel to AM.

P\ a n d\ Q are the points of trisection of the diagonal B D of a parallelogram A B C Ddot Prove that C Q is parallel to A Pdot Prove also that A C bisects P Q

Points M and N are taken on the diagonal AC of a parallelogram ABCD such that AM= CN. Prove that BMDN is a parallelogram.

E and F are points on diagonal AC of a parallelogram ABCD such that AE=CF. Show that BFDE is a parallelogram.

Two points X and Y lie on the diagonal BD of a parallelogram ABCD such that DX = BY. Prove that squareAXCY is a parallelogram.

If P\ a n d\ Q are the mid points of the sides AB and CD of a parallelogram ABCD, prove that DP and BQ cut the trisection which also the points of trisection of DP and BQ respectively.

If P and Q are the middle points of the sides BC and CD of the parallelogram ABCD, then AP+AQ is equal to

E is the mid-point of side AB and F is the mid point of side DC of parallelogram ABCD . Prove that AEFD is a parallelogram.

The diagonal BD of a parallelogram ABCD bisects angles B and D. Prove that ABCD is a rhombus.

O' is any point on diagonal AC of a parallelogram ABCD. Prove that : area of Delta AOD = " area of " Delta AOB

ICSE-SPECIAL TYPES OF QUADRILATERALS-EXERCISE
  1. P and Q are the points of trisection of the diagonal BD of a parallelo...

    Text Solution

    |

  2. In parallelogram ABCD, angleA=3cm times angleB. Find all the angles of...

    Text Solution

    |

  3. In parallelogram PQRS, angleQ=(4x-5)^(@) and angleS=(3x+10)^(@). Calcu...

    Text Solution

    |

  4. In rhombus ABCD: (i) if angleA=74^(@), find angleB and angleC. (ii...

    Text Solution

    |

  5. In square PQRS: (i) if PQ=3x-7 and QR=x+3, find PS. (ii) if PR=5x ...

    Text Solution

    |

  6. ABCD is a rectangle. If angleBPC=124^(@). Calculate: (i) angleBA...

    Text Solution

    |

  7. ABCD is a rhombus. If angleBAC=38^(@), find: (i) angleACB (ii) ang...

    Text Solution

    |

  8. ABCD is a rhombus. If angleBCA=35^(@), and angleADC.

    Text Solution

    |

  9. PQRS is a parallelogram whose diagonals intersect at M. if anglePMS=...

    Text Solution

    |

  10. . Given: Parallelogram ABCD in which diagonals AC and CD intersect...

    Text Solution

    |

  11. In an isosceles-trapezium, show that the opposite angles are supplemen...

    Text Solution

    |

  12. ABCD is a parallelogram. What kind of quadrilateral is it if: (i) AC...

    Text Solution

    |

  13. Prove that the diagonals of a parallelogram bisect each other.

    Text Solution

    |

  14. If the diagonals of a parallelogram are of equal lengths, the parallel...

    Text Solution

    |

  15. In parallelogram ABCD, E is the mid-point of AD and F is the mid-point...

    Text Solution

    |

  16. In parallelogram ABCD, E is the mid-point of side AB and CE bisect ang...

    Text Solution

    |

  17. In the alongside diagram, the bisectors of interior angles of the para...

    Text Solution

    |

  18. In parallelogram ABCD, X and Y are mid-points of opposite sides AB and...

    Text Solution

    |

  19. The given figure shows parallelogram ABCD. Points M and N lie in diago...

    Text Solution

    |

  20. . The given figure shows a rhombus ABCD in which angle BCD=80^(@). F...

    Text Solution

    |

  21. Use the information given in the following diagram to find the values ...

    Text Solution

    |