Identify Lines of Symmetry

Line symmetry is a kind of symmetry regarding reflections. Whenever there are at least \(1\) lines in an object which separate a figure into \(2\) halves so one half is the mirror image of the other, it’s called line symmetry or reflection symmetry. The line of symmetry could go in any direction, vertical, slanting, horizontal, vertical, etc.

Related Topics

• Line Segments
• Count Lines of Symmetry
• Parallel, Perpendicular, and Intersecting Lines

The line of symmetry can be classified depending on the orientation as:

Vertical Line of Symmetry:  Shape can be split into \(2\) equal halves via a standing straight line. In that instance, the line of symmetry is a vertical one.

Horizontal Line of Symmetry: Shape can be split into \(2\) identical halves whenever they are cut horizontally. Then, the line of symmetry will be horizontal. Thus, a horizontal line of symmetry separates a shape into matching halves, whenever it’s split horizontally, such as cutting it left to right or vice-versa.

Diagonal Line of Symmetry: Shapes can be separated across their corners to create \(2\) equal halves. Then, the line of symmetry will be diagonal. Diagonal lines of symmetry divide shapes into equal halves whenever they are divided across their diagonal corners.

Critical Notes regarding Line Symmetry

• Every regular polygon is shaped symmetrically.
• Objects and their images are symmetrical about their mirror line.
• Line symmetry may additionally be seen using inkblot paper.
• The figure could be made up of \(1\) or more lines of line symmetry dependent on their shapes and structures.

Identify Lines of Symmetry – Example 1:

Tell whether the line on the shape is a line of symmetry.

Solution:

This line is a line of symmetry because it can be used to divide the shape into equal halves so that one half of it is another mirror image.

Identify Lines of Symmetry – Example 2:

Tell whether the line on the shape is a line of symmetry.

Solution:

This line is not a line of symmetry because it can’t be used to divide the shape into equal halves.

Exercises for Identify Lines of Symmetry

Tell whether the line on each shape is a line of symmetry.

1)

2)

1. \(\color{blue}{Yes}\)
2. \(\color{blue}{No}\)