Home
Class 10
MATHS
In square ABCD, seg AD|| seg BC. Diagona...

In `square ABCD`, seg `AD||` seg BC. Diagonal AC and digonal BD intersect each other in point P. Then show that `(AP)/(PD)=(PC)/(BP)`.

Text Solution

Verified by Experts

The correct Answer is:
` therefore (AP)/(PD) = (PC)/(BP)`.
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    TARGET PUBLICATION|Exercise Activites for Practice|4 Videos

  • SIMILARITY

    TARGET PUBLICATION|Exercise Multiple Choice Questions|28 Videos

  • SIMILARITY

    TARGET PUBLICATION|Exercise Practice Set 1.4|6 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|11 Videos

  • STATISTICS

    TARGET PUBLICATION|Exercise Problem Set-6|5 Videos

Similar Questions

Explore conceptually related problems

In square ABCD , AB||CD. Diagonals AC and BD intersect each other at point P. Prove that A(triangle ABP) : A(triangle CPD) = (AB)^2:(CD)^2 .

In squareABCD , side BC|| side AD . Digonals AC and BD intersect each other at P . If AP=(1)/(3)AC then prove DP=(1)/(2)BP .

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

In the figure, seg AC and seg BD intersect each other in point P and (AP)/(CP)=(BP)/(DP) . Prove that DeltaABP~DeltaCDP .

In trapezium ABCD side AB|| side DC, diagonals AC and BD intersect In point O. If AB=20, DC=6, OB=15 then find OD.

Line AC and line BD intersect each other in the point P. mangleAPD=47^@ . Find the measures of angle APB, angleBPC, angleCPD .

In the adjoining figure, seg YZ and seg XT are altitudes of triangle WXY which intersect each other at point P. Prove that: Points X, Z, T and Y are concyclic points.

square ABCD is a parallelogram.Side BC intersects circle at point P.Prove that DC=DP

In the adjoining figure, seg YZ and seg XT are altitudes of triangle WXY which intersect each other at point P. Prove that square WZPT is a cyclic quadrilateral.

TARGET PUBLICATION-SIMILARITY -Problem Set - 1
  1. In DeltaABC and DeltaPQR, in a one to one correspondence. (AB)/(QR) ...

    Text Solution

    |

  2. If in DeltaDEF and DeltaPQR, angleD cong angleQ, angleR cong angleE, t...

    Text Solution

    |

  3. In DeltaABC and DeltaDEF, " " angleB = angleE, angleF = angleC and ...

    Text Solution

    |

  4. DeltaABC and DeltaDEF are equilateral triangles, A(DeltaABC) : A(Delta...

    Text Solution

    |

  5. In the adjoining figure, seg XY abs()seg BC, then which of the followi...

    Text Solution

    |

  6. In DeltaABC, B - D - C and BD = 7, BC = 20, then find the ratio. (...

    Text Solution

    |

  7. In DeltaABC, B - D - C and BD = 7, BC = 20, then find the ratio (A(...

    Text Solution

    |

  8. In DeltaABC, B - D - C and BD = 7, BC = 20, then find following rati...

    Text Solution

    |

  9. Ratio of areas of two triangles with equal height is 2:3. If base of s...

    Text Solution

    |

  10. In the adjoining figure, angleABC = angleDCB = 90^@ , AB = 6 , DC = 8...

    Text Solution

    |

  11. In the adjoining figure, PM = 10 cm, A(DeltaPQS) = 100 sq. cm, A(Delt...

    Text Solution

    |

  12. DeltaMNT ~ DeltaQRS. Length of altitude drawn from point T is 5 and le...

    Text Solution

    |

  13. In the figure A-D-C and B-E-C seg DE|| side AB. If AD=5, DC=3, BC=6.4 ...

    Text Solution

    |

  14. In the adjoining figure, seg PA , seg QB, seg RC and seg SD are perpen...

    Text Solution

    |

  15. In DeltaPQR seg PM is a median. Angle bisectors of /PMQ and /PMR inter...

    Text Solution

    |

  16. In the figure bisectors of /B and /C of DeltaABC intersect each othe...

    Text Solution

    |

  17. In square ABCD, seg AD|| seg BC. Diagonal AC and digonal BD intersect ...

    Text Solution

    |

  18. In the adoining figure, XY abs() seg AC. If 2 AX = 3 BX and XY = 9, fi...

    Text Solution

    |

  19. In the adjoining figure, the vertices of square DEFG are on the sides ...

    Text Solution

    |