Home
Class 9
MATHS
In a parallelogram A B C D , the bisecto...

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

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

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

In a parallelogram A B C D ,\ the bisector of /_A also bisects B C at X . Find A B : A D

In a parallelogram A B C D , the bisectors of /_A\ a n d\ /_B meet at Odot Find /_A O Bdot

In Figure, A B C D is a parallelogram in which /_A=60^0 . If the bisectors of /_A and /_B meet at P , prove that A D=D P ,P C=B C and D C=2A Ddot Figure

In Figure, A B C D is a parallelogram in which /_A=60^0 . If the bisectors of /_A and /_B meet at P , prove that A D=D P ,P C=B C and D C=2A Ddot Figure

In a parallelogram A B C D , if /_D=115^0, then write the measure of /_A

In A B C ,/_B=2/_C and the bisector of /_B intersects A C at Ddot Prove that (B D)/(D A)=(B C)/(B A)

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a parallelogram A B C D , the diagonals bisect each other at Odot If /_A B C=30^0,\ /_B D C=10^0a n d\ /_C A B=70^0, Find: /_D A B ,\ /_A D C ,\ /_B C D ,\ /_A O D ,\ /_D O C ,\ /_B O C ,\ /_A O B ,\ /_A C D ,\ /_C A B ,\ /_A D B

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. The diagonals of a parallelogram A B C D intersect at O. A line thro...

    Text Solution

    |

  2. In Figure, A B C D is a parallelogram and /D A B=60^@. If the bisector...

    Text Solution

    |

  3. In a parallelogram A B C D , the bisector of /A also bisects B C at X....

    Text Solution

    |

  4. A B C D is a parallelogram. L\ a n d\ M are points on A B\ a n d\ D C ...

    Text Solution

    |

  5. P Q R S is a parallelogram. P X\ a n d\ Q Y are respectively, the p...

    Text Solution

    |

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

    Text Solution

    |

  7. Two opposite angles of a parallelogram are (3x-2)^0\ a n d\ \ (50-x)...

    Text Solution

    |

  8. If an angle of a parallelogram is two-third of its adjacent angle, ...

    Text Solution

    |

  9. Find the measure of all the angles of a parallelogram, if one angle is...

    Text Solution

    |

  10. The perimeter of a parallelogram is 22c mdot If the longer side measur...

    Text Solution

    |

  11. In a parallelogram A B C D ,\ /D=135^0, determine the measures of /...

    Text Solution

    |

  12. A B C D is a parallelogram in which /A=70^0dot Compute /B ,\ /C\ a n...

    Text Solution

    |

  13. In Figure, A B C D is a parallelogram in which /A=60^0 . If the bisect...

    Text Solution

    |

  14. In Figure, A B C D is a parallelogram in which /D A B=75^0a n d\ /D...

    Text Solution

    |

  15. A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d...

    Text Solution

    |

  16. Which of the following statements are true (T) and which are false (...

    Text Solution

    |

  17. Show that if the diagonals of a quadrilateral bisect each other at ...

    Text Solution

    |

  18. Show that the diagonals of a square are equal and bisect each other...

    Text Solution

    |

  19. Show that if the diagonals of a quadrilateral are equal and bisect ...

    Text Solution

    |

  20. In a triangle A B C median A D is produced to X such that A D=D Xdot P...

    Text Solution

    |