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- A regular polygon has the same number of lines of symmetry as the number of sides. Therefore, a regular hexagon has six lines of symmetry. Three lines of symmetry pass through opposite vertices and three lines of symmetry pass through the mid-points of opposite sides.
www.bbc.co.uk/bitesize/articles/ztj6s82
Equilateral triangles are regular polygons, so they have 3 lines of symmetry. Are all regular polygons symmetrical? Yes, regular polygons are symmetrical shapes because they have equal sides and equal angles.
Aug 3, 2023 · How Many Lines of Symmetry does a Regular Polygon Have? The number of lines of symmetry in any polygon can be easily determined by folding that shape along those hypothetical lines such that the resulting shapes are identical halves of the original figure.
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 .
Regular polygons all share the property that the number of sides is equal to the number of lines of symmetry. Below is a couple of examples of these cases: A reason why regular shapes have many lines of symmetry is due to the angles within the shape being the same.
The number of lines of symmetry in a regular polygon is equal to the number of sides.
If a polygon is concave, it will not have the same number of lines of symmetry as it does sides. For example, dhe concave decagon shown below only has 5 lines of symmetry. Even though it has ten sides of equal length, it is not a regular polygon because it is a concave shape.
A geometrical figure is said to have five lines of symmetry if it is symmetrical about five lines of axis only. Let us consider some examples. The symmetry of a Regular Polygon. A regular pentagon has five lines of symmetry. This is because a regular pentagon has five sides that are all equal. So, it contains five symmetry lines.