State 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

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### 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.

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