Home
Class 9
MATHS
ABCD is a rectangle and P, Q, R and S ar...

ABCD is a rectangle and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

ABCD is a rhombus and P, Q, R and S are ©wthe mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rectangle.

ABCD is a rhombus and P, Q, R, S are the mid-points of AB, BC, CD and DA respectively. Prove that quadrilateral PQRS is a rectangle.

ABCD is a quadrilateral in which P,Q,R and S are the mid points of sides AB,BC,CD and DA respectively AC is a diagonal show that: PQ=SR

A (- 1, - 1), B (- 1, 4), C (5, 4) and D (5, - 1). P, Q, R and S are the mid points of AB, BC, CD and DA respectively. Is the quadrilateral PQRS a square ? a rectangle ? or a rhombus ? Justify your answer

ABCD is a quadrilateral in which P,Q,R and S are the mid points of sides AB,BC,CD and DA respectively AC is a diagonal show that: PQRS is a parallelogram.

ABCD is a quadrilateral in which P, Q, R and S are the mid-points of sides AB, BC, CD and DA respectively (See Fig.) AC is a diagonal Show that PQ = SR.

ABCD is a quadrilateral in which P, Q, R and S are the mid-points of sides AB, BC, CD and DA respectively (See Fig. AC is a diagonal Show that SR II AC and SR = 1/2 AC .

ABCD is a quadrilateral in which P, Q, R and S are the mid-points of sides AB, BC, CD and DA respectively (See Fig. AC is a diagonal Show that SR II AC and SR = 1/2 AC .

MBD-Quadrilaterals-Exercise
  1. ABCD is a quadrilateral in which P, Q, R and S are the mid-points of s...

    Text Solution

    |

  2. ABCD is a rhombus and P, Q, R, S are the mid-points of AB, BC, CD and ...

    Text Solution

    |

  3. ABCD is a rectangle and P, Q, R and S are the mid-points of the sides ...

    Text Solution

    |

  4. ABCD is a trapezium with AB II DC, E and F are paints on non-parallel ...

    Text Solution

    |

  5. Match the following : .

    Text Solution

    |

  6. Show that the line segments joining the mid-points of opposite sides o...

    Text Solution

    |

  7. ABC is a triangle right angled at C. A line through the mid-point M of...

    Text Solution

    |

  8. ABC is a triangle right angled at C. A line through the mid-point M of...

    Text Solution

    |

  9. ABC is a triangle right angled at C. A line through the mid-point M of...

    Text Solution

    |

  10. Prove that the figure formed by joining the mid-points of the pairs of...

    Text Solution

    |

  11. In a triangle, P, Q and R are mid-points of sides BC, CA and AB respec...

    Text Solution

    |

  12. In a DeltaABC median AD is produced to X such that AD = DX. Prove that...

    Text Solution

    |

  13. In Fig. M, N and P are the mid-points of AB, AC and BC respectively....

    Text Solution

    |

  14. ABCD is a trapezium in which AB || DC. M and N are the mid-points of A...

    Text Solution

    |

  15. In Fig. , AB || CD || EF || GH and AX = XY=YH. If AC = 1.5 cm., find ...

    Text Solution

    |

  16. In given Fig. , DeltaABC is isosceles with AB = AC. D, E, F are the ...

    Text Solution

    |

  17. In DeltaABC, E and F are the mid-points of AC and AB respectively. The...

    Text Solution

    |

  18. In Fig. , ABCD is a parallelogram in which P is the mid-point of DC ...

    Text Solution

    |

  19. ABCD is a parallelogram. P is any point on AD, such that AP = 1/3AD an...

    Text Solution

    |

  20. In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-poi...

    Text Solution

    |