Choose the quadrilateral which has all the properties of a kite and a parallelogram?

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Trapezium

Rhombus

Rectangle

Parallelogram

answer is B.

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Detailed Solution

Here, we have to state the name of the quadrilateral which has all the properties of a kite as well as a parallelogram.
In a kite, each pair of adjacent sides are equal, its diagonals intersect each other at right angles and one pair of opposite angle measures are equal.
Next, for a parallelogram, the pair of opposite sides are parallel and equal in measure, the diagonals bisect each other and opposite angle measures are equal.
Now, if we combine the properties of these two quadrilaterals, the resulting properties will be that all the sides are parallel and equal in measure, the diagonals intersect each other at right angles and the opposite angle pairs are equal.
From the given options, we can observe that only the rhombus is one such quadrilateral, which holds these properties.
Hence, the correct option is (2).

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