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Q.

Choose whether given statement is true or false:


Diagonals of a rhombus are equal and perpendicular to each other.


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a

True

b

False 

answer is B.

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Detailed Solution

Given the statement is, diagonals of a rhombus are equal and perpendicular to each other.
As we know the Rhombus has 4 sides that are all equal length and opposite sides are parallel and opposite angles are equal. The diagonals of a rhombus are perpendicular to each other but they are not equal.
Question ImageIn the above figure, MNOP is a rhombus in which opposite angles are equal.
  ∠M=∠O ∠P=∠N   In figure diagonal MO⊥PN   but MO≠PN   .
Thus, statement is false, diagonals of a rhombus are not equal and perpendicular to each other.
Hence, option 2 is correct.
 
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