Home
Class 8
MATHS
Which of the following statements are tr...

Which of the following statements are true for a square? It is a rectangle. It has all its sides of equal length. Its diagonals bisect each other at a right angle. Its diagonals are equal to its sides.

Text Solution

Verified by Experts

The following statement is true for rectangle:
It is a rectangle.
It has all of its sides of equal length.
Its diagonals bisect each other at a right angle.
The following statement is false for rectangle:
Its diagonals are equal to its sides.
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

Which of the following statements are true for a rectangle? It has two pairs of equal sides. It has all its sides of equal length. Its diagonals are equal. Its diagonals bisect each other. Its diagonals are perpendicular. Its diagonals are perpendicular and bisect each other. Its diagonals are equal and bisect each other. Its diagonals are equal and perpendicular, and bisect each other. All rectangles are squares. All rhombuses are parallelograms. All squares are rhombuses and also rectangles. All squares are not parallelograms.

The diagonals of a square are equal and bisect each other at right angle

A quadrilateral whose all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a __________.

Show that the diagonals of a square are equal and bisect each other at right angles.

Show that the diagonals of a square are equal and bisect each other at right angles.

Which of the following statements are true for a rhombus? It has two pairs of parallel sides. It has two pairs of equal sides. It has only two pairs of equal sides. Two of its angles are at right angles. It diagonals bisect each other at right angles. Its diagonals are equal and perpendicular. It has all its sides of equal lengths. It is a parallelogram. It is a quadrilateral. It can be a square. It is a square.

Which of the following statements are true (T) and which are false (F)? In a parallelogram, the diagonals are equal. In a parallelogram, the diagonals bisect each other. In a parallelogram, the diagonals intersect each other at right angles. In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram. If all the angles of a quadrilateral are equal, it is a parallelogram. If three sides of a quadrilateral are equa, it is a parallelogram. If three angles of a quadrilateral are equal, it is a parallelogram. If all the sides of a quadrilateral are equal it is a parallelogram

Write each of the following statements in the form 'if p, then q' : A quadrilateral is a parallelogram if its diagonals bisect each other.

Parallelograms, in which diagonals are not equal and bisect each other at right angles are

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

    |