Lines of symmetry in a regular Rhombus

What is a Rhombus?

A rhombus is a quadrilateral whose all the sides are of equal in length, opposite sides are parallel and opposite angles are equal.

In other words, a rhombus is a parallelogram with adjacent sides of equal length.

What is line of symmetry ?

The line of symmetry is the imaginary line where we could fold the image and have both halves match exactly.

A shape may have more than one line of symmetry depending on its angles and the lengths of each side.

A line of symmetry is a hypothetical line that splits a rhombus into two equal halves is called a line of symmetry.

Let’s learn more about the symmetry lines of the rhombus.

The two symmetry lines of a rhombus are the diagonals. This is so that we receive the same form as two halves when we fold the rhombus along the diagonal line.

Let’s look the diagram below, which depicts two symmetry lines in a rhombus.

A rhombus has two lines of symmetry.

Line of symmetry in a square and rhombus

A square is a special type of rhombus whose all internal angles are 90º.

A rhombus is a two-dimensional figure whose all sides are equal and all the angles are not equal to 90º, so number of the lines of symmetry are different for both square and rhombus.

A rhombus has two lines of symmetry and a square has 4 lines of symmetry.

The lines of symmetry in a square are drawn through its vertical axis, horizontal axis and two diagonals.

The lines of symmetry in a rhombus are from its diagonals. So, we can say that the lines of symmetry in a rhombus are its both diagonals.

We can see lines of symmetry in a square and a rhombus in below figure.

Rotational Symmetry of a Rohmbus

A rhombus has four equal sides but different angles. A rhombus has two lines of symmetry (vertical and horizontal) and angle of rotation is 180º.

Solved questions

(1) How many lines of symmetry does a rhombus have

A rhombus has 2 lines of symmetry. The diagonals of a rhombus are its line of symmetry.

(2) Does a rhombus have a rational symmetry?

Yes, a rhombus has a rational symmetry. A rhombus has rotational symmetry of 180º.