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- All regular polygons are symmetrical in shape. The number of lines of symmetry is the same as the number of its sides. An object and its image are symmetrical with reference to its mirror line.
www.cuemath.com/geometry/symmetry/
All regular polygons are symmetrical in shape. The number of lines of symmetry is the same as the number of its sides. An object and its image are symmetrical with reference to its mirror line.
Are all regular polygons symmetrical? Yes, regular polygons are symmetrical shapes because they have equal sides and equal angles. They have line symmetry and rotational symmetry.
In geometry, symmetry is defined as a balanced and proportionate similarity that is found in two halves of an object. It means one-half is the mirror image of the other half. The imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry.
- 3 min
When an imaginary line is drawn through a shape to make one side of the line a true reflection of the other (and vice versa), the shape is known as symmetrical. Examples of objects in the real world that are symmetrical include snowflakes, the feathers of peacocks, and the wings of butterflies.
If a figure is symmetric, then any pair of corresponding parts under the symmetry are congruent. Rorschach inkblots and logos commonly are reflective-symmetric. These symmetries will be useful when applied to various polygons. Symmetry is also important in algebra.
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. Here I have folded a rectangle one way, and it didn't work. So this is not a Line of Symmetry.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts. We also call this line the axis of symmetry or mirror line because it divides the figure symmetrically, and the divided parts look like mirror reflections of each other. More line of symmetry examples are shown in the figure below.
