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

Diagonlas AC and BD of a trapezium ABCD with AB ||DC intersect 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:
`/_ OAB = /_ OCD`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 2.4)|8 Videos
  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 2.5)|17 Videos
  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 2.2)|10 Videos
  • SURFACE AREA AND VOLUMES

    OSWAAL PUBLICATION|Exercise EXERCISE 15.5|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 a similarity criterion for two triangles , show ,that (OA)/(OC)=(OB)/(OD)

Diagonals AC and BD of a trapezium ABCD with AB || DC interseet each other ar at O. Prove that ar (AOD) = BOC.

Diagonals AC and BD of a trapezium ABCD with AB |\| DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

Diagonals 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.

Diagonals of trapezium PQRS intersect each other at the point O, PQ||RS, and PQ = 3RS. Find the ratio of the areas of triangles POQ and ROS.

In Fig , altitudes AD and CE of triangle ABC intersect each other at the point P. show that : DeltaAEP ~DeltaADB

In Fig , altitudes AD and CE of triangle ABC intersect each other at the point P. show that : triangleAEP ~triangleCDP

In Fig , altitudes AD and CE of triangle ABC intersect each other at the point P. show that : DeltaPDC ~DeltaBEC

In Fig , altitudes AD and CE of triangle ABC intersect each other at the point P. show that : DeltaABD ~DeltaCBE

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

OSWAAL PUBLICATION-TRIANGLES-TEXTBOOK CORNER (EXERCISE 2.3)
  1. State which pairs of triangles in Fig are similar. Write the similarit...

    Text Solution

    |

  2. In the figure given below, Delta ODC - Delta OBA, / BOC = 125^(@) and ...

    Text Solution

    |

  3. Diagonlas AC and BD of a trapezium ABCD with AB ||DC intersect each ot...

    Text Solution

    |

  4. In Fig . (QR)/(QS) = (QT)/(PR)and |ul(1)=|ul(2) . Show that Delta PQS...

    Text Solution

    |

  5. S and T are point on sides PR and QR of Delta PQR such that / P = / RT...

    Text Solution

    |

  6. In Fig. If Delta ABE = ACD , show that Delta ADE ~ Delta ABC .

    Text Solution

    |

  7. In Fig. Altitudes AD and CE of Delta ABC intersect each other at th...

    Text Solution

    |

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

    Text Solution

    |

  9. In Fig , ABC and AMP are two right triangles, right angled at B and M...

    Text Solution

    |

  10. GD and GH are respectively the bisectors of angleACB and angleEGF suc...

    Text Solution

    |

  11. In Fig E is a point on side CB produced of an isosceles triangle ABC ...

    Text Solution

    |

  12. sides AB and BC and median AD of a triangle ABC are respectively prop...

    Text Solution

    |

  13. D is a point on the side BC of a triangle ABC such that angleADC=angl...

    Text Solution

    |

  14. side AB and AC and median AD od a triangle ABC are respectively propor...

    Text Solution

    |

  15. A verticle pole of height 6m casts a shadow 4m long on the ground, and...

    Text Solution

    |

  16. If AD and PM are median of triangles ABC and PQR respectively where De...

    Text Solution

    |