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

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 `(O A)/(O C)=(O B)/(O D)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6.4|9 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6.5|21 Videos

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section Exercise 6.2|12 Videos

  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 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 ABDC intersect each other at the point O .Using similarity criterion for two triangles, show that (OA)/(OC)=(OB)/(OD)

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

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

Diagonals AC and BD of a trapezium ABCD with AB|CD intersect each where at O. Prove that ar (o+AOD)=ar(harr 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 a Trapezium DeltaBCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of Delta AOB and Delta COD is

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If angleDAC=32^(@) and angleAOB=70^(@) , then angleDBC is equal to

if ABCD is a trapezium,AC and BD are the diagonals intersecting each other at point Q. then AC:BD=

MTG IIT JEE FOUNDATION-TRIANGLES -NCERT Section Exercise 6.3
  1. State which pairs of triangles in Figure are similar. Write the sim...

    Text Solution

    |

  2. State which pairs of triangles in Figure are similar. Write the sim...

    Text Solution

    |

  3. In the figure , DeltaODC~DeltaOBA,angleBOC=125^(@)and angleCDO=70^(@)...

    Text Solution

    |

  4. Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each ...

    Text Solution

    |

  5. In the given figure, (QR)/(QS)= (QT)/(PR) and angle1 = angle2 then pro...

    Text Solution

    |

  6. In the given figure, S and T are points on sides PR and QR of Delta PQ...

    Text Solution

    |

  7. In the figure ,if DeltaABE~=DeltaACD , Show that DeltaADE~DeltaABC .

    Text Solution

    |

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

    Text Solution

    |

  9. In Figure altitudes AD and CE of DABC intersect each other at th...

    Text Solution

    |

  10. In Figure altitudes AD and CE of DABC intersect each other at th...

    Text Solution

    |

  11. In Figure altitudes AD and CE of DABC intersect each other at th...

    Text Solution

    |

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

    Text Solution

    |

  13. In figure ABC and AMP are two right triangles, right angles at B an...

    Text Solution

    |

  14. CD and GH are respectively the bisectors of /A C Band /E G Fsuch tha...

    Text Solution

    |

  15. In figure E is a point on side CB produced of an isosceles triangle A...

    Text Solution

    |

  16. Sides AB and BC and median AD of a triangle ABC are respectively propo...

    Text Solution

    |

  17. In the given figure , D is a point on the side BC of Delta ABC such th...

    Text Solution

    |

  18. Sides AB and AC and median AD of a triangle ABC are respectively prop...

    Text Solution

    |

  19. A vertical pole of length 6 m casts a shadow 4 m long on the ground a...

    Text Solution

    |

  20. If AD and PM are medians of triangles ABC and PQR, respectively where...

    Text Solution

    |