Home
Class 9
MATHS
The sides PQ, PR of triangle PQR are equ...

The sides PQ, PR of triangle PQR are equal, and S, T are points on PR, PQ such that `angle PSQ and anglePTR` are right angles
Prove that the triangles PTR and PSQ are congruent.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise ISOSCELES TRIANGLES |2 Videos

  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise INEQUALITIES |7 Videos

  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise LOGARITHM |9 Videos

  • CHAPTERWISE REVISION (STAGE 1)

    ICSE|Exercise Graphical solution |10 Videos

  • CIRCLE

    ICSE|Exercise EXERCISE 17(D)|12 Videos

Similar Questions

Explore conceptually related problems

The sides PQ, PR of triangle PQR are equal, and S, T are points on PR, PQ such that angle PSQ and anglePTR are right angles If OS and RT intersect at M, prove that the triangles PTM and PSM are congruent.

The sides AB and BC and the median AD of triangle ABC are equal to the sides PQ and QR and the median PM of triangle PQR respectively. Prove that the triangles ABC and PQR are congruent.

In quadrilateral PQRS , PS = QR and angle SPQ = angle RQP . Prove that : angle QPR = angle PQS

In two right triangles, one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle. Prove that the two triangles are congruent.

In two right triangles, one side and an acute angle of one triangle are equal to one side and the corresponding acute angle of the other triangle. Prove that the two triangles are congruent.

In quadrilateral PQRS , PS = QR and angle SPQ = angle RQP . Prove that : PR = QS

The given figure shows PQ = PR and angle Q = angle R . Prove that Delta PQS = Delta PRT

In the following figures, the sides AB and BC and the median AD of triangle ABC are respectively equal to the sides PQ and QR and median PS of the triangle PQR. Prove that Delta ABC and Delta PQR are congruent.

In a triangle PQR, QR = PR and angleP=36^(@) . Which is the largest side of the triangle ?

In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the other. Prove that the triangles are congruent.

ICSE-CHAPTERWISE REVISION (STAGE 3) -TRIANGLES
  1. ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. ...

    Text Solution

    |

  2. ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. ...

    Text Solution

    |

  3. ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. ...

    Text Solution

    |

  4. The sides PQ, PR of triangle PQR are equal, and S, T are points on PR,...

    Text Solution

    |

  5. The sides PQ, PR of triangle PQR are equal, and S, T are points on PR,...

    Text Solution

    |

  6. ABCD is a square. P, Q and Rare the points on AB, BC and CD respective...

    Text Solution

    |

  7. ABCD is a square. P, Q and Rare the points on AB, BC and CD respective...

    Text Solution

    |

  8. ABCD is a square. P, Q and Rare the points on AB, BC and CD respective...

    Text Solution

    |

  9. A B C\ a n d\ D B C are two isosceles triangles on the same bas B ...

    Text Solution

    |

  10. Triangles ABC and DBC are two isosceles triangles on the same base BC ...

    Text Solution

    |

  11. Triangles ABC and DBC are two isosceles triangles on the same base BC ...

    Text Solution

    |

  12. A B C\ a n d\ D B C are two isosceles triangles on the same bas B C...

    Text Solution

    |

  13. In a right triangle ABC, right angled at C, P is the mid-point of hypo...

    Text Solution

    |

  14. In a right triangle ABC, right angled at C, P is the mid-point of hypo...

    Text Solution

    |

  15. In a right triangle ABC, right angled at C, P is the mid-point of hypo...

    Text Solution

    |

  16. In a right triangle ABC, right angled at C, P is the mid-point of hypo...

    Text Solution

    |

  17. In the given figures , ABCD is a rectangle Prove that : Delta ABE ~...

    Text Solution

    |

  18. In quadrilateral PQRS , PS = QR and angle SPQ = angle RQP . Prove th...

    Text Solution

    |

  19. In quadrilateral PQRS , PS = QR and angle SPQ = angle RQP . Prove th...

    Text Solution

    |