Line Symmetry

Line symmetry, also known as reflection symmetry, occurs when a figure can be divided into two equal halves, such that one half is the mirror image of the other half. The line along which the figure can be folded to achieve this symmetry is called the line of symmetry.

Identifying Line Symmetry

To identify line symmetry in a figure, you can fold the figure along a potential line of symmetry and check if the two resulting halves match exactly. If they do, the figure has line symmetry. Some common figures with line symmetry include squares, rectangles, circles, and certain letters of the alphabet (like A, H, and O).

Properties of Line Symmetry

Some important properties of line symmetry include:

• The line of symmetry divides the figure into two congruent parts.
• Every figure has at most one line of symmetry.
• Some figures may have no line of symmetry, while others may have multiple lines of symmetry.

Examples of Line Symmetry

Here are some examples of figures with line symmetry:

• Square: A square has four lines of symmetry, dividing it into four equal parts.
• Triangle: An equilateral triangle has three lines of symmetry, while an isosceles triangle has one line of symmetry.
• Circle: A circle has infinite lines of symmetry passing through its center, dividing it into congruent halves.
• Letter "A": The letter "A" has a line of symmetry passing vertically through its center.

Practice Questions

Now, let's try some practice questions to test your understanding of line symmetry:

1. Identify the number of lines of symmetry in the following figures:
   a) Rectangle
   b) Pentagon
   c) Letter "H"
   d) Star
2. Draw a figure with exactly two lines of symmetry.
3. Identify the line of symmetry in the following figure:
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