Learn about lines of symmetry in different geometrical shapes.

It is not necessary that all the figures possess a line or lines of symmetry in different figures.

Figures may have:

No line of symmetry

1, 2, 3, 4 …… lines of symmetry

Infinite lines of symmetry

Let us consider a list of examples and find out lines of symmetry in different figures:

**1. Line segment:**

In the figure there is one line of symmetry.
The figure is symmetric along the perpendicular bisector ** l**.

**2. An angle:**

In the figure there is one line of symmetry. The figure is symmetric along the angle bisector OC.

**3. An isosceles triangle**:

In the figure there is one line of symmetry. The figure is symmetric along the bisector of the vertical angle. The median XL.

**4. Semi-circle:**

In the figure there is one line of symmetry. The figure is symmetric along the perpendicular bisector l. of the diameter XY.

**5. Kite:**

In the figure there is one line of symmetry. The figure is symmetric along the diagonal QS.

**6. Isosceles trapezium:**

In the figure there is one line of symmetry.
The figure is symmetric along the line * l* joining the midpoints of two parallel sides AB and DC.

**7.
Rectangle:**

In the figure there are two lines of
symmetry. The figure is symmetric along the lines * l* and

**8. Rhombus:**

In the figure there are two lines of symmetry. The figure is symmetric along the diagonals AC and BD of the figure.

**9. Equilateral triangle:**

In the figure there are three lines of symmetry. The figure is symmetric along the 3 medians PU, QT and RS.

**10. Square:**

In the figure there are four lines of symmetry. The figure is symmetric along the 2diagonals and 2 midpoints of opposite sides.

**11. Circle:**

In the figure there are infinite lines of symmetry. The figure is symmetric along all the diameters.

**Note:**

Each regular polygon (equilateral triangle, square, rhombus, regular pentagon, regular hexagon etc.) are symmetry.

The number of lines of symmetry in a regular polygon is equal to the number of sides a regular polygon has.

Some figures like scalene triangle and parallelogram have no lines of symmetry.

**Lines of symmetry in letters of the English alphabet: **

Letters having one line of symmetry:

A B C D E K M T U V W Y have one line of symmetry.

A M T U V W Y have vertical line of symmetry.

B C D E K have horizontal line of symmetry.

Letter having both horizontal and vertical lines of symmetry:

H I X have two lines of symmetry.

Letter having no lines of symmetry:

F G J L N P Q R S Z have neither horizontal nor vertical lines of symmetry.

Letters having infinite lines of symmetry:

O has infinite lines of symmetry. Infinite number of lines passes through the point symmetry about the center O with all possible diameters.

Lines of Symmetry

● **Related Concepts **

**● Order of Rotational Symmetry**

**● Reflection of a Point in x-axis**

**● Reflection of a Point in y-axis **

**● Reflection of a point in origin **

**● Rotation**

**● 90 Degree Clockwise Rotation**

**● 90 Degree Anticlockwise Rotation**

**7th Grade Math Problems**

**8th Grade Math Practice**

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