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Q.

A quadrilateral whose all sides, diagonals and angles are equal is a:


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a

Square

b

Trapezium

c

Rectangle

d

Rhombus 

answer is A.

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Detailed Solution

Here, we have to choose the quadrilateral which has all its sides, diagonals and angles equal.
Now, such a case is only possible if the quadrilateral is a parallelogram.
Next, in a parallelogram, the quadrilaterals which have all its sides equal are a rhombus and a square.
But in the case of a rhombus, we know by its properties that its interior angles and its diagonals are not equal. This is only possible in case of a square where all the interior angles are right angles and both the diagonals are equal.
Hence, the correct option is (1).
 
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