Count Lines of Symmetry

Whenever a line separates a particular figure into \(2\) equivalent halves so the right and left halves match precisely, then we declare the figure is symmetrical regarding the line. This line is known as the line of symmetry or the axis of symmetry.

Related Topics

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

For the particular regular polygons, you can locate the lines of symmetry via utilizing a paper folding technique as well as additionally create the lines of symmetry using dotted lines.

Shapes with Line Symmetry

A few of the commonplace instances of line symmetry are shown below:

• Squares have four lines of symmetry, which are lines going through the opposing vertices along with the lines through the midpoints of opposing sides making up the \(4\) lines of symmetry.
• Rectangles have \(2\) two lines of symmetry, which are lines through the midpoints of the opposing sides.
• Generic trapezoids will not have line symmetry rather isosceles trapezoids have line symmetry.

Count Lines of Symmetry – Example 1:

Draw lines of symmetry on the shape. Count and write the lines of symmetry you see.

Solution:

As mentioned, a rectangle has \(2\) two lines of symmetry, which are lines through the midpoints of the opposing sides.

Count Lines of Symmetry – Example 2:

Draw lines of symmetry on the shape. Count and write the lines of symmetry you see.

Solution:

The figure above is a hexagon. A hexagon has \(6\) lines of symmetry because in regular polygons the number of lines of symmetry is equal to the number of sides

Exercises for Count Lines of Symmetry

Draw lines of symmetry on each shape.

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