Home
Class 9
MATHS
Show that the diagonals of a square are ...

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

Text Solution

AI Generated Solution

To show that the diagonals of a square are equal and bisect each other at right angles, we can follow these steps: ### Step-by-Step Solution: 1. **Define the Square**: Let the square be represented as ABCD, where A, B, C, and D are the vertices of the square. 2. **Identify the Diagonals**: The diagonals of the square are AC and BD. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|67 Videos
  • RATIONALISATION

    RD SHARMA|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles,then it is a square

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angle, then it is a square.

Knowledge Check

  • If the diagonals of a quadrilateral are equal and bisect each other at right angles, then the quadrilateral is a

    A
    reactangle
    B
    square
    C
    rhombus
    D
    trapezium
  • If the diagonals of a quadrilateral bisect each other at right angles, it will be a

    A
    rhombus
    B
    trapezium
    C
    rectangle
    D
    kite
  • Similar Questions

    Explore conceptually related problems

    The diagonals of a rhombus are unequal and bisect each other at right angle

    The diagonals of a rectangle are equal and bisect each other

    Show that if the diagonals of a quadrilateral bisect each other at right angles,then it is a rhombus

    Show that if the diagonals of a quadrilateral bisect each other at right angles,then it is a rhombus.

    Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

    The diagonals of a square are equal and perpendicular to each other.