Home
Class 9
MATHS
P\ a n d\ Q are the points of trisect...

`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`

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|67 Videos

  • RATIONALISATION

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

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

In Figure, A N and C P are perpendicular to the diagonal B D of a parallelogram A B C Ddot Prove that : A D N~= C B P (ii) A N=C P

In Figure, A N and C P are perpendicular to the diagonal B D of a parallelogram A B C D . Prove that : (i) A D N~= C B P (ii) A N=C P

The sides A B and C D of a parallelogram A B C D are bisected at Ea n dF . Prove that E B F D 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.

p\ A N D\ q are any two points lying on the sides D C\ a n d\ A D respectively of a parallelogram A B C Ddot\ Show that a r( A P B)=a r\ ( B Q C)dot

In a parallelogram A B C D , the bisector of /_A also bisects B C at X . Prove that A D=2A B .

In a parallelogram A B C D , the bisector of /_A also bisects B C at Xdot prove that A D=2A Bdot

A B C D is a quadrilateral; P , Q , Ra n dS are the points of trisection of side A B ,B C ,C Da n dD A respectively and are adjacent to Aa n dC ; prove that P Q R S is parallelogram.

P is the mid-point of side A B of a parallelogram A B C D . A Line through B parallel to P D meets D C at Q and A D produced at R . Prove that (i) A R=2B C (ii) B R=2B Qdot

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. A B C D is a rectangle with /A B D=40^0dot Determine /D B C

    Text Solution

    |

  2. The sides A B\ a n d\ C D of a parallelogram A B C D are bisected at E...

    Text Solution

    |

  3. P\ a n d\ Q are the points of trisection of the diagonal B D of a p...

    Text Solution

    |

  4. A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ ...

    Text Solution

    |

  5. A B C D is a rhombus, E A B F is a straight line such that E A=A B=B F...

    Text Solution

    |

  6. A B C D is a parallelogram. A D is a produced to E so that D E=D C and...

    Text Solution

    |

  7. In Figure, D ,E and F are, respectively the mid-points of sides B C ,C...

    Text Solution

    |

  8. Prove that the four triangles formed by joining in pairs, the mid-p...

    Text Solution

    |

  9. l, m and n are three parallel lines intersected by transversals p an...

    Text Solution

    |

  10. Let A B C be an isosceles triangle with A B=A C and let D ,\ E ,\ F ...

    Text Solution

    |

  11. A B C is a triangle right angled at B ; a n d\ P is the mid-point o...

    Text Solution

    |

  12. P ,\ Q\ a n d\ R are, respectively, the mid points of sides B C ,\ C...

    Text Solution

    |

  13. In Figure, A D\ a n d\ B E are medians of A B C\ a n d\ B E||D F . Pr...

    Text Solution

    |

  14. In A B C ,A D is the median through A and E is the mid-point of A D ....

    Text Solution

    |

  15. In a A B C , find the measures of the angles of the triangle formed b...

    Text Solution

    |

  16. In Figure, A D is the median and D E||A B . Prove that B E is the medi...

    Text Solution

    |

  17. A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\...

    Text Solution

    |

  18. Show that the line segments joining the mid-points of the opposite s...

    Text Solution

    |

  19. Show that the quadrilateral formed by joining the mid-points of the ...

    Text Solution

    |

  20. A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\...

    Text Solution

    |