What are lines of symmetry in math?
The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.
How do you find lines of symmetry?
You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.
How many lines of symmetry does the shape have?
A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. A circle has an infinite number of lines of symmetry since it can be folded about any diameter.
What are lines of symmetry in a polygon?
Line symmetry in regular polygons A square is a regular polygon . It has four lines of symmetry and four sides. A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.
What are examples of lines of symmetry?
Line of Symmetry Examples
- A Triangle is said to have 3, 1 or even no lines of symmetry.
- A Quadrilateral has 4 or 2 or no lines of symmetry.
- Equilateral Triangle is said to have 3- lines of symmetry.
- Regular Pentagon has 5 lines of symmetry.
- A Regular Heptagon has 7 lines of symmetry.
What polygon has 20 lines of symmetry?
Regular icosagon
Icosagon
| Regular icosagon | |
|---|---|
| Schläfli symbol | {20}, t{10}, tt{5} |
| Coxeter–Dynkin diagrams | |
| Symmetry group | Dihedral (D20), order 2×20 |
| Internal angle (degrees) | 162° |
Which figure has exactly three lines of symmetry?
equilateral triangle
An equilateral triangle has about three lines of symmetry.
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