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Question

In which of the following quadrilaterals, a diagonal is not an angle bisector?


A

Square

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B

Rectangle

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C

Rectangle

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D

None of These

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Solution

The correct option is B

Rectangle


In the case of a rectangle, the diagonal is not an angle bisector.
Consider a rectangle ABCD.

Here, ADB = DBC (Alternate angles)
But, DBC is not equal to BDC (Angles opposite to unequal sides of a triangle are unequal)
ADB is not equal to BDC
So, diagonal DB does not bisect D.


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