Answer
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Hint: Now any figure with 4 sides is called Quadrilateral. In a parallelogram opposite sides are equal and parallel. Also the opposite angles of parallelogram are equal.
Complete step-by-step answer:
Any figure which has 4 sides and 4 vertices is called a Quadrilateral.
Now each different Quadrilateral has its own definition.
A Parallelogram is a Quadrilateral with its parallel side equal and opposite as well as its opposite angles are equal.
A Square is Quadrilateral with opposite sides parallel, all sides equal and all the angles are equal.
A Rhombus is a Quadrilateral with opposite sides parallel and all sides equal
A Rectangle is a Quadrilateral with all opposite sides equal and parallel and all the angles are equal.
A Trapezium is a quadrilateral with one pair of opposite sides parallel
Now, Consider a Parallelogram with all sides equal.
If all its sides are equal we get a parallelogram with opposite sides parallel and opposite angles equal as well as all its sides are also equal.
Now we know that a Quadrilateral with all its side equal and opposite angles also equal is a Rhombus.
Hence, the name of the parallelogram with all sides equal will be Rhombus.
Now since the angles are not all equal the Quadrilateral cannot be a Square or Rectangle.
Also since both opposite sides are parallel the Quadrilateral is not a Trapezium.
So, the correct answer is “Option B”.
Note: Rhombus can sometimes be confused with square since both the quadrilaterals have a common property that all its sides are equal. However the thing that distinguishes a Rhombus from a square is the property that all the angles of the square are also equal and in fact each angle is equal to 90° while in Rhombus just the opposite angles are equal. Hence, we can say that every square is a Rhombus but every Rhombus need not be a square.
Complete step-by-step answer:
Any figure which has 4 sides and 4 vertices is called a Quadrilateral.
Now each different Quadrilateral has its own definition.
A Parallelogram is a Quadrilateral with its parallel side equal and opposite as well as its opposite angles are equal.
![seo images](https://www.vedantu.com/question-sets/64448de6-e087-4549-935a-298e78ba4c294018845667814532093.png)
A Square is Quadrilateral with opposite sides parallel, all sides equal and all the angles are equal.
![seo images](https://www.vedantu.com/question-sets/fa6bd139-a884-414d-a76a-818f7ee1b01d1671704286108390477.png)
A Rhombus is a Quadrilateral with opposite sides parallel and all sides equal
![seo images](https://www.vedantu.com/question-sets/752aa111-a0e5-41d6-9561-7498e72498e85008462965217005385.png)
A Rectangle is a Quadrilateral with all opposite sides equal and parallel and all the angles are equal.
![seo images](https://www.vedantu.com/question-sets/da3799e4-f26b-4575-8765-0457aed54b156893917787724557978.png)
A Trapezium is a quadrilateral with one pair of opposite sides parallel
![seo images](https://www.vedantu.com/question-sets/3104b053-a7e7-49d0-8e6a-37059f771ac29124753274265659302.png)
Now, Consider a Parallelogram with all sides equal.
If all its sides are equal we get a parallelogram with opposite sides parallel and opposite angles equal as well as all its sides are also equal.
Now we know that a Quadrilateral with all its side equal and opposite angles also equal is a Rhombus.
Hence, the name of the parallelogram with all sides equal will be Rhombus.
Now since the angles are not all equal the Quadrilateral cannot be a Square or Rectangle.
Also since both opposite sides are parallel the Quadrilateral is not a Trapezium.
So, the correct answer is “Option B”.
Note: Rhombus can sometimes be confused with square since both the quadrilaterals have a common property that all its sides are equal. However the thing that distinguishes a Rhombus from a square is the property that all the angles of the square are also equal and in fact each angle is equal to 90° while in Rhombus just the opposite angles are equal. Hence, we can say that every square is a Rhombus but every Rhombus need not be a square.
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