Circles have an infinite number of lines of symmetry. Any line that bisects a circle through its center is a line of symmetry. Circles are the only Euclidean shape with this property.
Know MoreCircles have fascinated mathematicians since the time of early Greek culture, and other cultures have pondered circles as well. Circles have an infinite number of edges, and they cannot be described with classic geographical techniques. Pi, the ratio of a circle's area to its radius, pops up throughout seemingly unrelated areas of mathematics.
Many mathematicians and philosophers independently found that circles can be described as having an infinite number of edges, and this conception is useful when considering lines that touch circles at only one point, of which there are an infinite number.
Despite the fact that circles are often considered the simplest shape, they are mathematically complex. Pi is an irrational number; it cannot be expressed completely using standard numbers. The fact that they have an infinite number of edges made them difficult for early mathematicians to comprehend. Unlike other shapes, their area cannot be precisely calculated if the radius is a rational number. Because of this, circles have often been considered a special shape that are different from other shapes.
Learn more about ShapesA regular pentagon has five lines of symmetry. An irregular pentagon, with non-equal side lengths and internal angles, may or may not have any lines of symmetry.
Full Answer >A regular heptagon has seven lines of symmetry. Each one runs from a vertex to the opposite side, bisecting the side at a 90-degree angle.
Full Answer >A regular hexagon with six equal sides has six lines of symmetry. For all regular polygons, the number of lines of symmetry is equal to the number of sides.
Full Answer >A right triangle either has one or no lines of symmetry. An isosceles right triangle, one with two sides of equal length, has one line of symmetry. A scalene right triangle, one with no sides of equal length, has no lines of symmetry.
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