A rhombus is a quadrilateral where all the sides are of same measure and also the the contrary sides room parallel. It is likewise defined together a parallelogram with nearby sides of same length. An imagine line through which the rhombus is folded right into two halves such the these halves room symmetrical in nature is well-known as a rhombus line of symmetry. Let's understand more about the rhombus lines of symmetry.

You are watching: How many lines of symmetry does a rhombus have?

1.Lines of the contrary in Rhombus
2.Lines of Rotational symmetry in a Rhombus
3.Lines of the contrary in a no Square Rhombus
4.FAQs ~ above Rhombus present of Symmetry

Lines of the opposite in Rhombus


There room 2 present of symmetry in a rhombus. The imagine axis or line follow me which the rhombus have the right to be urgent to obtain the two symmetrical halves is called the line of symmetry in rhombus. If the folded component exactly superimposes top top the other half, with all the edges and also corners coinciding, then the folded heat represents a heat of symmetry and that form is symmetrical either along its length, width, or diagonals. The diagonals space the 2 lines of symmetry in a rhombus. This is because, as soon as we fold the rhombus along the diagonal line line, we gain the very same shape as 2 halves. Let's look into the diagram given listed below which mirrors the 2 lines of symmetry in a rhombus.

ABCD is a rhombus wherein the diagonals AC and also BD are the 2 lines the symmetry presented using the dotted lines.


Lines that Rotational symmetry in a Rhombus


A rhombus has rotational symmetry of stimulate 2. Rotational symmetry is characterized as a form of the contrary in which the photo of a offered shape watch exactly similar to the original shape or photo in one complete or 360° rotation. So, as soon as a form is turned about a complete rotation and also the form is similar to the origin, we check out the rotational the contrary exists. Us will completely rotate a rhombus by 360 levels in various stages and also check the images formed to inspect the stimulate of the rotational the contrary as shown below.

From the above images the a rhombus, us observe the it fits top top itself double in one full rotation the 360°. Therefore, we can conclude the the stimulate of rotational the contrary in a rhombus is 2 and also the edge of rotation is 180°.


Lines of the opposite in a non Square Rhombus


A square is a special form of rhombus through all its inner angles measuring 90° each. A non-square rhombus (also known as a rhombus) is different from a square v respect come its inner angles. Uneven a square, a non-square rhombus walk not have all its internal angles equal to 90°. The number of lines of the contrary in a non-square rhombus is 2, whereas, a square has 4 currently of symmetry. The present of the contrary in a square are attracted through its vertical axis, horizontal axis, and two diagonals conversely, the lines of the contrary in a non-square rhombus are attracted through the diagonals. Let's look right into the diagram below showing the present of the opposite in a square and also a non-square rhombus.

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Rhombus present of symmetry Examples


Example 1: What room the angles at i m sorry a rhombus has actually rotational symmetry?

Solution:

Rotational the contrary is identified as a kind of the opposite in i beg your pardon the photo of a offered shape looks exactly comparable to the original shape or photo in one complete or 360° rotation. So, as soon as a shape is turned, and the form is similar to the origin, rotational the contrary persists. Hence, a rhombus has a rotational symmetry in ~ an angle of 180°.


Example 2: If a rhombus has actually one of its angles as an acute angle, how plenty of lines the symmetry walk this rhombus have?

Solution:

It is given that among the angles of the rhombus is an acute angle. Using this details we deserve to conclude that the rhombus is no square-shaped. If all its angles were 90°, it would certainly be a square that has 4 lines of symmetry. We understand that a non-square rhombus has only 2 lines of symmetry v its diagonals. Therefore, the given rhombus has two currently of symmetry.


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FAQs on Rhombus currently of Symmetry


What space the present of the contrary in a Rhombus?

The diagonals the a rhombus stand for the 2 lines of the opposite in a rhombus. They divide the rhombus into identical halves.

Does a Rhombus have any type of Lines of Symmetry?

Yes, a rhombus has actually two present of symmetry with its diagonals.

Why does a Rhombus have only 2 lines of Symmetry?

A rhombus has actually only 2 currently of symmetry since when we fold the rhombus along its diagonal line lines, we get the exact same shape as 2 halves which have the right to superimpose top top each various other showing the symmetric nature.

How plenty of Lines of Symmetry does a Non-Square Rhombus have?

A non-square rhombus, likewise known as a rhombus which is no a square has actually 2 currently of symmetry v its diagonal lines.

Does a Rhombus have 4 Lines of Symmetry?

Only a square rhombus has 4 lines the symmetry with its upright axis, horizontal axis, and also two diagonal lines, whereas, a rhombus that is not a square cannot have 4 lines that symmetry. It have the right to only have two present of symmetry.

What is the the smallest Angle the Rotational Symmetry because that a Rhombus?

The the smallest angle that rotational the opposite in a rhombus is 180°.

What stimulate of Rotational Symmetry go a Rhombus have?

The bespeak of rotational the contrary is defined as the number of times that shape shows up exactly the same in a complete 360-degree rotation. A rhombus has rotational the contrary of bespeak 2 as it appears twice specifically the exact same in a finish rotation.

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How plenty of Lines that Symmetry does a Rhombus have?

A rhombus has two lines of symmetry. The 2 diagonals the a rhombus room its currently of symmetry.