Home
Class 9
MATHS
In Figure, P S=Q R\ a n d\ /S P Q=/R Q P...

In Figure, `P S=Q R\ a n d\ /_S P Q=/_R Q Pdot` Prove that ` P Q S\ ~=\ Q P R ,\ P R=Q S\ a n d\ /_Q P R=\ /_P Q S`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

In Figure, P S=P R ,\ \ /_T P S=\ /_Q P Rdot Prove that P T=P Q

In Figure, If P Q=P T\ a n d\ /_T P S=/_Q P R , prove that \ P R S is isosceles

In Figure, /_P Q R=\ /_P R Q , then prove that /_P Q S=\ /_P R Tdot

In Figure, O P||R S . Determine /_P Q R

In Fig. , if (Q T)/(P R)=(Q R)/(Q S) and /_1=/_2 . Prove that P Q S ~ T Q R . (FIGURE)

In figure, P Q=P R . Show that P S > P Q .

In Figure, P Q R S is a square. Determine /_S R Pdot

In Figure, A P\ _|_l\ a n d\ P R > P Q . Show that A R > A Q .

In Figure, O P ,\ O Q ,\ O R\ a n d\ O S are four rays. Prove that /_P O Q+\ /_Q O R+\ /_S O R+\ /_P O S=360^0

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. Prove that A B C is isosceles if any one of the following holds: A...

    Text Solution

    |

  2. In Figure, P Q R S is a quadrilateral and T\ a n d\ U are respectively...

    Text Solution

    |

  3. In Figure, P S=Q R\ a n d\ /S P Q=/R Q Pdot Prove that P Q S\ ~=\ Q...

    Text Solution

    |

  4. In right triangle A B C , right angle at C ,\ M is the mid-point of th...

    Text Solution

    |

  5. In Figure, A C=A E ,\ A B=A D\ a n d\ /B A D=/E A Cdot Prove that B C=...

    Text Solution

    |

  6. In Figure, the side B A\ a n d\ C A have been produced such that B ...

    Text Solution

    |

  7. In triangle P Q R , if P Q=R Q\ a n d\ L ,\ M\ a n d\ N are the mid-p...

    Text Solution

    |

  8. In Figure, P Q R S is a square and S R T is an equilateral triangle...

    Text Solution

    |

  9. Prove that the medians of an equilateral triangle are equal.

    Text Solution

    |

  10. In a A B C , if /A=120^0a n d\ A B=A Cdot Find /B\ a n d\ /C

    Text Solution

    |

  11. In A B C , if A B=A C\ a n d\ /B=70^0, find /A

    Text Solution

    |

  12. The vertical angle of an isosceles triangle is 100^0dot Find its ba...

    Text Solution

    |

  13. In Figure, A B=A C\ a n d\ /A C D=100^0, find /B A C

    Text Solution

    |

  14. Find the measure of each exterior angle of an equilateral triangle.

    Text Solution

    |

  15. If the base of an isosceles triangle is produced on both sides, pro...

    Text Solution

    |

  16. In Figure, A B=A C\ a n d\ D B=D C , find the ratio /A B D\ :\ /A C D

    Text Solution

    |

  17. Determine the measure of each of the equal angles of a right-angled...

    Text Solution

    |

  18. A B C is a right-angled triangle is which /A=90^0a n d\ A B=A Cdot ...

    Text Solution

    |

  19. A B is a line segment. P\ a n d\ Q are points on opposite sides of A...

    Text Solution

    |

  20. In Figure, diagonal A C of a quadrilateral A B C D bisects the angles ...

    Text Solution

    |