Home
Class 10
MATHS
Digonal AC and BD of a trapezium ABCD wi...

Digonal AC and BD of a trapezium ABCD with `AB||DC` intersects each other at the point O. Using a similarity criterion for two triangles, show that `(OA)/(OC)=(OB)/(OD)`.

Text Solution

Verified by Experts

The correct Answer is:
`(OA)/(OC)=(OB)/(OD)`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.4|9 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.5|23 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.2|12 Videos
  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|5 Videos

Similar Questions

Explore conceptually related problems

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point ‘O’. Using the criterion of similarity for two triangles, show that (OA)/(OC) = (OB)/(OD) .

Digonals of a trapezium ABCD with AB||DC intersect each other at the point O. If AB= 2 CD, find the ratio of the areas of triangles AOB and COD.

In the figure, diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar(DeltaAOD) = ar(Delta BOC).

ABCD is a trapezium in which AB||DC and its diagonals intersects each other at the point O. Show that (AO)/(BO)=(CO)/(DO) .

In the given figure, two chords AB and CD intersect each other at the point P. Prove that DeltaAPC ~ DeltaDPB

In the given figure, two chords AB and CD intersect each other at the point P. Prove that AP*PB= CP*DP

The diagonals of a quadrilateral ABCD intersects each other at the point O such that (AO)/(BO)= (CO)/(DO) . Show that ABCD is a trapezium.

In the given figure AB and CD bisect each other at O. Prove that AC = BD.

KUMAR PRAKASHAN-TRIANGLES-EXERCISE 6.3
  1. State which pairs of triangles in the given figure are similar. Write ...

    Text Solution

    |

  2. In the given figure DeltaODC ~ DeltaOBA, /BOC= 125^(@)" and "/CDO= 70^...

    Text Solution

    |

  3. Digonal AC and BD of a trapezium ABCD with AB||DC intersects each othe...

    Text Solution

    |

  4. In the given figure (QR)/(QS)=(QT)/(PR)" and "/1= /2. Show that DeltaP...

    Text Solution

    |

  5. S and T are points on sides PR and QR of DeltaPQR such that /P= /RTS. ...

    Text Solution

    |

  6. In the given figure, if DeltaABE cong DeltaACD, show that DeltaADE ~ D...

    Text Solution

    |

  7. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  8. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  9. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  10. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  11. E is a point on the side AD produced of a parallelogram ABCD and BE in...

    Text Solution

    |

  12. In the given figure, ABC and AMP are two right triangles, right angled...

    Text Solution

    |

  13. In the given figure, ABC and AMP are two right triangles, right angled...

    Text Solution

    |

  14. CD and GH are respectively the bisectors of /ACB" and "/EGF such that ...

    Text Solution

    |

  15. CD and GH are respectively the bisectors of /ACB" and "/EGF such that ...

    Text Solution

    |

  16. CD and GH are respectively the bisectors of /ACB" and "/EGF such that ...

    Text Solution

    |

  17. In the given figure, E is a point on side CB produced of an isosceles ...

    Text Solution

    |

  18. Sides AB and BC and median AD of a DeltaABC are respectively proportio...

    Text Solution

    |

  19. D is a point on the side BC of a triangle ABC such that /ADC= /BAC. Sh...

    Text Solution

    |

  20. Sides AB and BC and median AD of a DeltaABC are respectively proportio...

    Text Solution

    |