Home
Class 9
MATHS
In Figure, P Q R S is a quadrilateral. P...

In Figure, `P Q R S` is a quadrilateral. `P Q` is its longest side and `R S` is its shortest side. Prove that `/_R >\ /_P\ a n d\ /_S >\ /_Q` Given : `P Q R S` is a quadrilateral. `P Q` is its longest side and `R S` is its shortest side. To Prove : (i) `/_R >\ /_P` (ii) `/_S >\ /_Q` Construction : Joint `P R\ a n d\ Q S`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos

  • CONSTRUCTION

    RD SHARMA|Exercise All Questions|29 Videos

Similar Questions

Explore conceptually related problems

GIVEN : P Q R S is a quadrilateral. P Q is its longest side and R S is its shortest side. TO PROVE : (i) /_R >/_P (ii) /_S>/_Q CONSTRUCTION : Join P R and Q Sdot Figure

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

P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State the measure of /_P O Q

In Delta P Q R , if P Q=Q R and L ,M and N are the mid-points of the sides P Q ,Q R and R P respectively. Prove that L N=M Ndot

If P Q R S is a square, then write the measure of /_S R P

In Figure, P S D A is a parallelogram in which P Q=Q R=R S\ a n d\ A P B Q C Rdot Prove that a r\ (\ P Q E)=\ a r\ (\ C F D)dot

In Figure, P Q R S and A B R S are parallelograms and X is any point on side B Rdot Show that : a r(^(gm)P Q R S)=a r(^(gm)A B R S) a r(A X S)=1/2a r( P Q R S)

If P is the husband of Q and R is the mother of S and Q, what is R to P?

In Figure, P Q R is a triangle and S is any point in its interior, show that S Q+S R

In Figure, /_Q P R=/_P Q R and M and N are respectively on sides Q R and P R of P Q R such that Q M=P N . Prove that O P=O Q , where O is the point of intersection of P M and Q Ndot

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P >...

    Text Solution

    |

  2. In Figure, A P\ |l\ a n d\ P R > P Q . Show that A R > A Q Given: A P...

    Text Solution

    |

  3. In Figure, P Q R S is a quadrilateral. P Q is its longest side and R...

    Text Solution

    |

  4. In Figure, P Q R S is a quadrilateral in which diagonals P R\ a n d\...

    Text Solution

    |

  5. Of all the lines segments drawn from a point P to a line m not conta...

    Text Solution

    |

  6. In Figure, /E >/A\ a n d\ /C >/D . Prove that A D > E C

    Text Solution

    |

  7. In Figure, T is a point on side Q R of P Q R and S is a point such th...

    Text Solution

    |

  8. In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddo...

    Text Solution

    |

  9. In Figure, A B\ a n d\ C D are respectively the smallest and longest...

    Text Solution

    |

  10. In A B C , if /A=40^0a n d\ /B=60^0dot Determine the longest and sh...

    Text Solution

    |

  11. In a A B C , if /B=/C=45^0, which is the longest side?

    Text Solution

    |

  12. In A B C , side A B is produced to D so that B D=B Cdot If /B=60^0\ a...

    Text Solution

    |

  13. Is it possible to draw a triangle with sides of length 2c m ,\ 3c m\...

    Text Solution

    |

  14. In A B C ,\ /B=35^0,/C=65^0 and the bisector of /B A C meets B C in P...

    Text Solution

    |

  15. O is any point in the interior of A B Cdot Prove that A B+A C > O ...

    Text Solution

    |

  16. Prove that the perimeter of a triangle is greater than the sum of it...

    Text Solution

    |

  17. Prove that in a quadrilateral the sum of all the sides is greater t...

    Text Solution

    |

  18. In Figure, prove that C D+D A+A B+B C >2A C C D+D A+A B+B C >2A C

    Text Solution

    |

  19. Which of the following statements are true (T) and which are false ...

    Text Solution

    |

  20. Fill in the blanks to make the following statements true: In a righ...

    Text Solution

    |