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Question

Which of the following is not true for the figure below?


A

AC BD

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B
ABCD is a kite
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C

ADB = ABD

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D

DAB = DCB

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Solution

The correct option is D

DAB = DCB


It is given that AB = AD and BC = CD.
Since, two pairs of adjacent sides are equal, the ABCD is a kite.

According to the properties of a kite:

ACBD
[Diagonals of kite are perpendicular.]


In ΔABD,
ADB = ABD [BA=DA and angles opposite to equal sides are equal]

But, DAB DCB


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