Home
Class 9
MATHS
Show that the quadrilateral formed by jo...

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|67 Videos
  • RATIONALISATION

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

Show that the quadrialteral formed by joining the mid-points of the consecutive sides of a rhombus, is a rectangle.

The diagonals of a quadrilateral ABCD are mutually perpendicular . Prove that the quadrilateral formed by joining the mid-points of its consecutive sides is a reactangle.

Prove that the quadrilateral formed by joining the mid-points of the pairs of consecutive sides of a quadrilateral is a parallelogram.

The diagonals of a quadrilateral A B C D are perpendicular. Show that the quadrilateral, formed by joining the mid-points of its sides, is a rectangle.

The diagonals of a quadrilateral A B C D are perpendicular. Show that the quadrilateral, formed by joining the mid-points of its sides, is a rectangle.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square, is also a square.

Prove that the figure obtained by joining the mid-points of the adjacent sides of a rectangle is a rhombus.

Prove that the figure formed by joining the mid-points of the pair of consecutive sides of a quadrilateral is a parallelogram. OR ABC D is a parallelogram in which P ,Q ,R and S are mid-points of the sides A B ,B C ,C D and D A respectively. A C is a diagonal. Show that : P Q|| A C and P Q=1/2A C S R || A C and S R=1/2A C P Q=S R (iv) P Q R S is a parallelogram.

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. The figure formed by joining the mid-points of the adjacent sides of...

    Text Solution

    |

  2. The figure formed by joining the mid-points of the adjacent sides of...

    Text Solution

    |

  3. Show that the quadrilateral formed by joining the mid-points of the ...

    Text Solution

    |

  4. The figure formed by joining the mid-points of the adjacent sides of...

    Text Solution

    |

  5. Show that the quadrilateral, formed by joining the mid-points of th...

    Text Solution

    |

  6. The figure formed by joining the mid-point of the adjacent sides of ...

    Text Solution

    |

  7. Find the measure of all the angles of a parallelogram, if one angle is...

    Text Solution

    |

  8. In a parallelogram A B C D , if /D A B=75^0a n d\ /D B C=60^0, then /B...

    Text Solution

    |

  9. In a parallelogram A B C D , if /D A B=75^0a n d\ /D B C=60^0, then /B...

    Text Solution

    |

  10. A B C D is a parallelogram and E\ a n d\ F are the centroids of tria...

    Text Solution

    |

  11. A B C D is a parallelogram, M is the mid-point of B D and B M bisects ...

    Text Solution

    |

  12. A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d...

    Text Solution

    |

  13. If an angle of a parallelogram is two-third of its adjacent angle, f...

    Text Solution

    |

  14. If the degree measures of the angles of quadrilateral are 4x ,\ 7x ,...

    Text Solution

    |

  15. In a quadrilateral A B C D ,\ /A+/C is 2 times /B+/Ddot If /A=140^0\ a...

    Text Solution

    |

  16. If the diagonals of a rhombus are 18 cm and 24 cm respectively, then...

    Text Solution

    |

  17. The diagonals A C\ a n d\ B D of a rectangle A B C D intersect each ot...

    Text Solution

    |

  18. A B C D is a parallelogram in which diagonal A C\ bisects /B A Ddot...

    Text Solution

    |

  19. In a rhombus A B C D , if /A C B=40^0, then /A D B=(a) 70^0 (b) 45...

    Text Solution

    |

  20. In /\ A B C ,\ /A=30^@,\ /B=40^@a n d\ /C=110^@. The angles of the t...

    Text Solution

    |