Home
Class 9
MATHS
A D\ a n d\ B C are equal perpendicul...

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

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

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

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, 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 .

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

Two chords A B and C D of a circle are parallel and a line l is the perpendicular bisector of A B . Show that l bisects C Ddot

Two chords A B\ a n d\ C D of a circle are parallel and a line L is the perpendicular bisector of A B . Show that L bisects C D

B D is one of the diagonals of a quadrilateral A B C D . A M and C N are the perpendiculars from A\ a n d\ C , respectively, on B D . Show that ar (quad. A B C D )= 1/2B D (A M+C N)

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 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 C\ a n d\ ABD are two triangles on the base A B . If line segment C D is bisected by A B\ a t\ O , show that a r\ (/_\ A B C)=a r\ (\ /_\ A B D)

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. If the altitudes from two vertices of a triangle to the opposite si...

    Text Solution

    |

  2. In Figure, it is given that /A=/C\ a n d\ A B=B Cdot Prove that A ...

    Text Solution

    |

  3. A D\ a n d\ B C are equal perpendiculars to a line segment A B . Sh...

    Text Solution

    |

  4. In A B C ,\ A B=A C , and the bisectors of angles B\ a n d\ C inte...

    Text Solution

    |

  5. In Figure, it is given that A B=E F ,\ B C=D E ,\ A B\ |B D\ a n d\ ...

    Text Solution

    |

  6. In Figure, it is given that A B=B C\ a n d\ A D=E C. Prove that (i) ...

    Text Solution

    |

  7. In Figure, l||m and M is the mid-point of the line segment A B . Pr...

    Text Solution

    |

  8. In Figure, line l is the bisector of angle A\ a n d\ B is any point...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. 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

    |

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

    Text Solution

    |