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. Semicircle:
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 m joining the midpoints of opposite sides.
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 xaxis
● Reflection of a Point in yaxis
● Reflection of a point in origin
● Rotation
● 90 Degree Clockwise Rotation
● 90 Degree Anticlockwise Rotation
`7th Grade Math Problems
8th Grade Math Practice
From Lines of Symmetry to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.