Home
Class 9
MATHS
In Figure, B M\ a n d\ D N are both perp...

In Figure, `B M\ a n d\ D N` are both perpendiculars to the segments `A C\ a n d\ B M=D N` . Prove that `A C\ ` bisects `B D`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

In Figure, B M and D N are both perpendiculars to the segments A C and B M=D N . Prove that A C bisects B Ddot Figure

In Figure, A P\ a n d\ B Q are perpendiculars to the line segment A B\ a n d\ A P=B Q . Prove that O is the mid-point of line segment A B\ a n d\ P Q

In Figure, A B C\ a n d\ D B C are two triangles on the same base B C such that A B=A C\ a n d\ D B=D Cdot Prove that /_A B D=/_A C D

A D\ a n d\ B C are equal perpendiculars to a line segment A B . Show that C D bisects A Bdot

In Figure, A B||C F\ a n d\ B C||E D . Prove that /_A B C=\ /_F D E

In Figure, A B C D is a rectangle. B M\ a n d\ D N are perpendicular from B\ a n d\ D respectively on A C . Prove that M B C~= D N A (ii) B M=D N

In Figure, it is given that A B=C D\ a n d\ A D=B C. Prove that A D C\ ~= C B A .

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

In the given figure, A D\ a n d\ C F are respectively perpendiculars to sides B C\ a n d\ A B of A B Cdot if /_F C D=50^0, find \ /_B A D .

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, line l is the bisector of angle A\ a n d\ B is any point...

    Text Solution

    |

  2. In Figure, A D is a median and B L ,\ C M are perpendiculars drawn ...

    Text Solution

    |

  3. In Figure, B M\ a n d\ D N are both perpendiculars to the segments A...

    Text Solution

    |

  4. In a right angled triangle, one acute angle is double the other. Pr...

    Text Solution

    |

  5. A triangle A B C is an isosceles triangle if any one of the followi...

    Text Solution

    |

  6. A triangle A B C is an isosceles triangle if any one of the followi...

    Text Solution

    |

  7. In Figure, A P\ a n d\ B Q are perpendiculars to the line segment A...

    Text Solution

    |

  8. In Figure, A B C is an isosceles triangle with A B=A C ,\ B D\ a n ...

    Text Solution

    |

  9. In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D...

    Text Solution

    |

  10. In Figure, if A B=A C\ a n d\ B E=C D , prove that A D=A Edot

    Text Solution

    |

  11. In Figure, P S=P R ,\ \ /T P S=\ /Q P Rdot Prove that P T=P Q

    Text Solution

    |

  12. In Figure, If P Q=P T\ a n d\ /T P S=/Q P R , prove that \ P R S is is...

    Text Solution

    |

  13. In Figure, A B C\ a n d\ D B C are two isosceles triangles on the s...

    Text Solution

    |

  14. In Figure, A B C\ a n d\ D B C are two triangles on the same base...

    Text Solution

    |

  15. In Figure, B D and C E are two altitudes of a A B C such that B D=C...

    Text Solution

    |

  16. In Figure, /Q P R=\ /P Q R\ a n d\ M\ a n d\ N are respectively on ...

    Text Solution

    |

  17. A D\ a n d\ B E are respectively altitudes of A B C such that A E=B...

    Text Solution

    |

  18. In Figure, A D\ a n d\ B E are respectively altitudes of an isoscel...

    Text Solution

    |

  19. In Figure, line segments A B is parallel to another line segment C...

    Text Solution

    |

  20. In Figure, line segments A B is parallel to another line segment...

    Text Solution

    |