The key difference in between a square and a rhombus is that all the angle of a square space equal come 90°, whereas, the angle of a rhombus are not equal to 90°. That is frequently said that a square is a rhombus, however a rhombus isn’t always a square due to the fact that a square fulfills every the properties of a rhombus. When a rhombus satisfies all the properties of a square, it i do not care a square. Let united state learn an ext about the difference between square and also rhombus.

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1.Difference in between Square and also Rhombus
2.Square and also Rhombus Formulas
3.Similarities in between Square and also Rhombus
4.FAQs top top Difference between a Square and Rhombus

Difference between Square and Rhombus


A square is a two-dimensional number that has 4 equal sides and also four same angles. The political parties of a square are perpendicular to every other and its diagonals space of same length. A rhombus is a square in i beg your pardon the the opposite sides space parallel and also the opposite angles space equal. The sides of a rhombus are not perpendicular to each other and also the diagonals the a rhombus room not same in measure. The following figure helps come identify and differentiate between a square and also a rhombus.

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Observe the complying with table that shows the difference in between a square and also a rhombus.

SQUARERHOMBUS
All the angle of a square room equal and measure 90° each.Only the opposite angles of a rhombus room equal to every other.
The diagonals the a square are of same length.The diagonals the a rhombus room of unequal length.

A square can be enrolled in a circle.

A rhombus can not be inscriptions in a circle.

A square has four lines that symmetry.

A rhombus has two currently of symmetry.

The sides of a square room perpendicular to each other.The sides of a rhombus room not perpendicular to each other.

Square and Rhombus Formulas


Once we recognize the size of the sides and the length of the diagonals the a offered square and also a rhombus, we deserve to use the following formulas come calculate your area and perimeter.


Similarities between Square and also Rhombus


Squares and rhombuses have plenty of differences however they space also similar in many ways. The following table reflects the similarities in between a square and also a rhombus.

SQUARERHOMBUS
A square is a quadrilateral.A rhombus is also a quadrilateral.
The diagonals the a square bisect each other at appropriate angles.The diagonals that a rhombus also bisect each other at right angles.
The sum of the 4 interior angles of a square is 360°.The sum of the four interior angle of a rhombus is 360°.
The opposite sides of a square room parallel.The opposite sides of a rhombus are likewise parallel.
All the sides of a square room of equal length.All the sides of a rhombus are likewise of equal length.

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Example 1: identify if the offered parallelogram ABCD is a square or a rhombus if the political parties AB, BC, CD, and DA room equal to every other and the interior angles ∠A, ∠B, ∠C, ∠B space all same to 90°.

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Solution: The concern mentions the ABCD is a parallelogram.It is offered that the sides ab = BC = CD = DA; and ∠A = 90° , ∠B = 90°, ∠C = 90°, ∠D = 90°We know the difference in between square and also rhombus and also the truth that every the sides of a square and a rhombus room of same length. The inner angles that a square are 90°, however the angles of a rhombus room not 90°. Therefore, we can conclude that the given parallelogram is a square.


Example 2: utilizing the properties of a square and rhombus, create true or false for the complying with statements: a.) every the angle of a square room equal and measure 90° each. B.) every the political parties of a rhombus are of same length.

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Solution:

a.) True, every the angles of a square measure 90° each. B.) True, every the sides of a rhombus space of equal length.
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