Home
Class 8
MATHS
Name the quadrilaterals whose diagonals ...

Name the quadrilaterals whose diagonals (i) bisect each other (ii) are perpendicular bisectors of each other (iii) are equal

Text Solution

Verified by Experts

Solution
(i) bisects each other: diagonals of a parallelogram, rhombus, square and rectangle.
(ii) are perpendicular bisectors of each other: diagonals of rhombus and square -> perpendicular bisectors.
(iii) are equal: diagonals of rectangle and square are equal.
Promotional Banner

Topper's Solved these Questions

  • UNDERSTANDING PHASE-II (QUADRILATERALS)

    RD SHARMA|Exercise All Questions|46 Videos
  • UNDERSTANDING SHAPES-IN (POLYGONS)

    RD SHARMA|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The diagonals of a |gm bisect each other

In which quadrilateral diagonals bisect each other at right angles?

Write the converse statement of the following statement : If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other . Also state whether the converse statement is true .

Diagonals of a rectangle are perpendicular to each other.

If the diagonals of a quadrilateral are perpendcular bisectors of each other, then what type of quadrilateral is it ?

The diagonals of a rhombus are perpendicular to each other.

Given statements . Identify the statements given below as contrapositive or converse of each other. If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagronals of a quadrilateral bisect each other, then it is a parallelogram.

RD SHARMA-UNDERSTANDING PHASE-III (SPECIAL TYPES OF QUADRILATERALS)-All Questions
  1. In Figure, A B C D is a rectangle. B M\ a n d\ D N are perpendicular f...

    Text Solution

    |

  2. The diagonals of a rectangle A B C D intersect in Odot If /B O C=68^0,...

    Text Solution

    |

  3. Explain how this figure is a trapezium. Which of its two sides are p...

    Text Solution

    |

  4. In the following figure A B C D is a trapezium in which A B D Cdot Fi...

    Text Solution

    |

  5. The adjacent figure P Q R S is a trapezium in which S P || R Q , find ...

    Text Solution

    |

  6. Which of the following statements are true for a rectangle? It has t...

    Text Solution

    |

  7. Which of the following statements are true for a square? It is a rec...

    Text Solution

    |

  8. Fill in the blanks in each of the following, so as to make the state...

    Text Solution

    |

  9. A window frame has one diagonal longer than the other. Is the window...

    Text Solution

    |

  10. In a rectangle A B C D , prove that A C Bcong C A Ddot

    Text Solution

    |

  11. The sides of a rectangle are in the ratio 2:3, and its perimeter is ...

    Text Solution

    |

  12. The sides of a rectangle are in the 4:5. Find its sides if the perim...

    Text Solution

    |

  13. What is the length of a diagonal of a rectangle whose sides are 5 cm a...

    Text Solution

    |

  14. Construct a rectangle of side 8cm and diagonal 10 cm.

    Text Solution

    |

  15. Construct a square of side 4.8 cm.

    Text Solution

    |

  16. Identify all the quadrilaterals that have: (a) four sides of equal len...

    Text Solution

    |

  17. Q3) Explain how a square is: (a) a quadrilateral (b) a parallelogram...

    Text Solution

    |

  18. Name the quadrilaterals whose diagonals (i) bisect each other (ii) are...

    Text Solution

    |

  19. ABC is a right-angled triangle and O is the mid-point of the side oppo...

    Text Solution

    |

  20. To make a concrete rectangular slab the man should ensure?.

    Text Solution

    |