Home
Class 9
MATHS
Two lines A B\ a n d\ C D intersect at O...

Two lines `A B\ a n d\ C D` intersect at `O` such that `B C` is equal and parallel to `A Ddot` Prove that the lines `A B\ a n d\ C D` bisect at `O`

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

Two lines A B and C D intersect at O such that B C is equal and parallel to A Ddot Prove that the lines A B and C D bisect at Odot

Suppose line segments A B\ a n d\ C D intersect at O in such a way that A O=O D\ a n d\ O B=O C . Prove that A C=B D but A C may not be parallel to B D .

Two segments A C and B D bisect each other at O . Prove that A B C D is a parallelogram.

Two segments A C and B D bisect each other at O . Prove that A B C D is a parallelogram.

Suppose line segments A B and C D intersect at O in such a way that A O=O D and O B=O C . Prove that A C=B D but A C may not be parallel to B D .

Two circles whose centres are O and O ' intersect at Pdot Through P , a line l parallel to O O ' intersecting the circles at C\ a n d\ D is drawn. Prove that C D=2\ O O '

Two circles whose centres are O and O ' intersect at Pdot Through P , a line l parallel to O O ' intersecting the circles at C\ a n d\ D is drawn. Prove that C D=2\ O O '

Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect at O in such a way that a r\ ( A O D)=a r\ (\ B O C)dot Prove that A B C D is a trapezium.

Diagonals A C and B D of a quadrilateral A B C D intersect at O in such a way that a r(triangle A O D)=a r(triangle B O C) . Prove that A B C D is a trapezium.

A B C D is a square. A C\ a n d\ B D intersect at O . State the measure of /_A O B .

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, A C=B C ,\ /D C A=/E C B\ a n d\ /D B C=E A Cdot Prove that...

    Text Solution

    |

  2. In Figure, it is given that R T=T S ,\ /1=2/2\ a n d\ /4=2/3 . Prov...

    Text Solution

    |

  3. Two lines A B\ a n d\ C D intersect at O such that B C is equal and pa...

    Text Solution

    |

  4. B D\ a n d\ C E are bisectors of /B\ a n d\ /C of an isosceles A B C ...

    Text Solution

    |

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

    Text Solution

    |

  6. \ ABC is an isosceles triangle with A B=A C. Side B A is produced to...

    Text Solution

    |

  7. In Figure, A B=A CdotB E\ a n d\ C F are respectively the bisectors ...

    Text Solution

    |

  8. If A B C is an isosceles triangle with A B=A Cdot Prove that the ...

    Text Solution

    |

  9. If the altitudes from two vertices of a triangle to the opposite si...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |