MathematicsChoose whether the given statement is true or false.The diagonals of a rectangle are equal.

Choose whether the given statement is true or false.


The diagonals of a rectangle are equal.


  1. A
    True
  2. B
    False

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    Solution:

    Let the diagram of the rectangle with diagonal be,
    1A rectangle is a parallelogram with equal opposite sides, and the measure of each angle is .
    In the above rectangle, we have
    Angle of rectangle, .
    The common side, .
    Opposite sides of a parallelogram are equal, .
    By SAS congruence, we get . Therefore, by CPCT, we have .
    Hence, The statement is true.
     
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