State whether true or false; Every rhombus is a square.
(A) True
(B) False
Answer
Verified
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Hint: The given question is based on the shape of the rhombus and square. To conclude the result we have to apply the basic results of the rhombus and the square we can also observe the basic properties of both the rhombus and the square. We can observe the angle made by the rhombus and square. In that way we are able to conclude our result.
Complete step-by-step answer:
The above question is based on the shapes of rhombus and square. For concluding the result we can discuss the basic concept of Rhombus and Square.
Rhombus: Rhombus is a special type of a parallelogram whose all sides are equal or we can say that a quadrilateral all of whose sides have the same length.
Square: A square is closed to dimensional shape with four equal sides. In mathematics, a square is a shape that is like a quadrilateral. Its sides intersect at \[{90^0}\] angle.
For solving the given question we can apply the definition of square and rhombus. In that way we can conclude our result.
Rhombus as a quadrilateral with equal sides. The angles may or may not be right angled. In the right angle the angle is about ${90^0}$. In rhombus the angles are not surely ${90^0}$.
A square is quadrilateral with equal sides. All the angles are right angles. Each angle formed on the square is ${90^0}$.
In that way, we can say that every square is a rhombus but every rhombus is not a square
The given question should be false. Every Rhombus should not be formed as a square.
Note: From the above problem, the rhombus and square basic definitions are applied.
The opposite sides of a rhombus are parallel. The opposite angles of rhombus are equal. The Diagonal bisect the angles of rhombus. On the other hand a square is a plane figure, closed shape, a regular polygon.
Complete step-by-step answer:
The above question is based on the shapes of rhombus and square. For concluding the result we can discuss the basic concept of Rhombus and Square.
Rhombus: Rhombus is a special type of a parallelogram whose all sides are equal or we can say that a quadrilateral all of whose sides have the same length.
Square: A square is closed to dimensional shape with four equal sides. In mathematics, a square is a shape that is like a quadrilateral. Its sides intersect at \[{90^0}\] angle.
For solving the given question we can apply the definition of square and rhombus. In that way we can conclude our result.
Rhombus as a quadrilateral with equal sides. The angles may or may not be right angled. In the right angle the angle is about ${90^0}$. In rhombus the angles are not surely ${90^0}$.
A square is quadrilateral with equal sides. All the angles are right angles. Each angle formed on the square is ${90^0}$.
In that way, we can say that every square is a rhombus but every rhombus is not a square
The given question should be false. Every Rhombus should not be formed as a square.
Note: From the above problem, the rhombus and square basic definitions are applied.
The opposite sides of a rhombus are parallel. The opposite angles of rhombus are equal. The Diagonal bisect the angles of rhombus. On the other hand a square is a plane figure, closed shape, a regular polygon.
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