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Line Of Symmetry – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Line of SymmetryLine Of Symmetry – Definition, ExamplesTable of ContentsLine of Symmetry Definition of Line of Symmetry

A line of symmetry is a line that divides a shape or an object into two equal and symmetrical parts. When an object is divided by its line of symmetry, the two parts appear as mirror reflections of each other. This line is also known as the axis of symmetry or mirror line because of how it creates identical halves when passing through an object. Shapes that can be divided into equal parts by a line are called symmetric figures, while those that cannot be divided into identical parts are called asymmetric figures.

Lines of symmetry come in three main types based on their orientation. A horizontal line of symmetry goes from left to right and divides an object into identical top and bottom halves. A vertical line of symmetry runs from top to bottom, creating identical left and right halves. A diagonal line of symmetry goes in a slanting direction across an object to create matching halves. Different shapes can have different numbers of lines of symmetry - some have only one, while others may have multiple lines of symmetry depending on their structure.

Examples of Line of Symmetry Example 1: Finding Lines of Symmetry in an Arrow Problem:

How many lines of symmetry do the given figure have?

arrow

Step-by-step solution:

Step 1, Look at the arrow shape carefully. A line of symmetry would divide this shape into two identical halves.

Step 2, Try to imagine folding the arrow along different lines and see if the two halves match exactly.

arrow

Step 3, We can see that a horizontal line down the middle of the arrow divides it into identical up and bottom halves.

Step 4, Check if there are any other possible lines of symmetry. When we try vertical or diagonal lines, the halves are not identical.

Step 5, Count the total number of lines of symmetry. There is only one line of symmetry for this arrow.

Example 2: Identifying Types of Lines of Symmetry Problem:

Identify whether the given line of symmetry is a vertical, horizontal, or diagonal line of symmetry.

shape with lines of symmetry

Step-by-step solution:

Step 1, Observe the direction of the line drawn through the shape.

Step 2, Remember that vertical lines run from top to bottom, horizontal lines run from left to right, and diagonal lines run at an angle.

Step 3, The line shown in the image runs from top to bottom, dividing the shape into identical left and right halves.

Step 4, Since the line runs from top to bottom, it is a vertical line of symmetry.

Example 3: Letters Without Lines of Symmetry Problem:

Write three capital letters in the English alphabet that have no lines of symmetry.

Step-by-step solution:

Step 1, Remember that a line of symmetry would divide a letter into two identical halves.

Step 2, Think about each capital letter and try to find any lines (vertical, horizontal, or diagonal) that would create identical halves.

Step 3, For the letter P, if we draw any line through it, we won't get identical halves on both sides.

Step 4, Similarly, for G and J, no line can divide these letters into identical mirror images.

Step 5, Therefore, P, G, and J are three capital letters in the English alphabet that have no lines of symmetry.

Comments(7)AAthleteIvyNovember 6, 2025I've used this line of symmetry def to help my students. Clear examples made it easy for them to grasp the concept! Thanks!

NNutritionistRitaNovember 5, 2025This def of line of symmetry is great! I've used it to teach my students. Clear examples helped them quickly grasp the concept.

NNatureLover75September 17, 2025I’ve used this page to explain symmetry to my kids, and the examples made it so easy for them to understand! They loved spotting lines of symmetry in letters and shapes around the house.

MCMs. CarterSeptember 10, 2025I used the Line of Symmetry definition and examples with my kids during homework time, and it made such a difference! The clear steps helped them easily spot symmetry in shapes and even letters. Super helpful resource!

NNatureLover88August 27, 2025I used the Line of Symmetry examples from this page to help my kids with their homework, and it worked like a charm! The clear steps and visuals made it super easy for them to understand. Thanks for this resource!

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