MathematicsState whether the given statement is true or false:The diagonals of a rectangle are equal, perpendicular, and bisect each other.

State whether the given statement is true or false:


The diagonals of a rectangle are equal, perpendicular, and bisect each other.


  1. A
    True
  2. B
    False 

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    We have to check whether the diagonals of a rectangle are equal, perpendicular, and bisect each other or not.
    Consider a rectangle ABCD,
    From the definition of a rectangle, we get, the opposites of a rectangle are equal, diagonals are equal in length and also they bisect each other.
    Therefore, AC = BD and AO = OC and BO = OD in rectangle ABCD.
    Clearly, the diagonals of a rectangle are not perpendicular to each other.
    So, the given statement is false and the correct statement is that the diagonals of a rectangle are equal and bisect each other but not perpendicular to each other.
    Hence, the correct option is 2.
     
    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.