Home
Class 10
MATHS
Sides AB and BC and median AD of a Delta...

Sides AB and BC and median AD of a DeltaABC are respectively proportional to sides PQ and QR and median PM of `DeltaPQR` (see the given figure). Show that `DeltaABC ~ DeltaPQR`.

Text Solution

Verified by Experts

The correct Answer is:
SAS criterion, `DeltaABC ~ DeltaPQR`
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

Two sides AB, BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (See figure). Show that: (i) DeltaABM ~= DeltaPQN (ii) DeltaABC ~= DeltaPQR

E and F are respec­tively the midpoints of equal sides AB and AC of triangle ABC (see the given figure). Show that BF = CE.

In the given figure, AB||DC and AD||BC show that DeltaABC ~= Delta CDA .

S and T are points on sides PR and QR of DeltaPQR such that /_P= /_RTS . Show that DeltaRPQ ~ DeltaRTS .

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

D is a point on side BC of triangle ABC such that AD = AC (see the given figure). Show that AB gt AD.

AB and CD are respec­tively the smallest and longest sides of a quadrilateral ABCD (see th e given figure). Show that angle A gt angle C and angle B gt angle D

D, E and F are respectively the mid-points of sides AB, BC and CA of DeltaABC . Find the ratio of the areas of DeltaDEF" and "DeltaABC .

AD and BC are equal perpendiculars to a line segment AB (see the given figure) Show that CD bisects AB.

KUMAR PRAKASHAN-TRIANGLES-EXERCISE 6.3
  1. Digonal AC and BD of a trapezium ABCD with AB||DC intersects each othe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |