Q.

Choose whether given statement is true or false:


All rhombuses are squares.


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a

True

b

False 

answer is B.

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Detailed Solution

Given statement is all rhombuses are squares.
As we know the Rhombus has 4 sides that are all equal length and opposite sides are parallel and opposite angles are equal.
Question ImageIn the above figure, MNOP is a rhombus in which opposite angles are equal.
  M=O P=N   Also, square has 4 sides which are equal in length, and also every interior angle is a right angle (90°)
Question ImageIn the above figure, ABCD is a square in which all sides are equal and all angles are right angles.
So, we conclude that all rhombuses are not squares because the angle of the rhombus is not a right angle and the statement is false.
Hence, option 2 is correct.
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Choose whether given statement is true or false:All rhombuses are squares.