Q:

# Does an isosceles triangle have rotational symmetry?

A:

An isosceles triangle could have rotational symmetry if it were also an equilateral triangle. An isosceles triangle is a triangle with at least two equal sides. An equilateral triangle is a triangle with exactly three equal sides. By definition, all equilateral triangles are also isosceles triangles.

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A shape or image with rotational symmetry is one that can be rotated by some degree amount and still appear the same. In the case of an equilateral triangle, the shape remains the same each time the triangle is rotated by 120 degrees. As a subset of isosceles triangles, equilateral triangles have rotational symmetry.

## Related Questions

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A triangle can have two perpendicular sides. If two sides are perpendicular, the angle they form is a right angle. A triangle can have only one right angle.

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The basic trigonometric functions sine, cosine, and tangent give the ratio between two sides of a triangle with a given angle. The inverse trig functions find the angle if the ratio is known. Finding the inverse cosine often requires a calculator and more than five minutes if the side lengths are not given.

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Find the tangent by dividing the length of the opposite side of a right triangle by the length of its adjacent side. The result of this equation is the tangent, a single point on a circle through which the tangent line runs.