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# Does an isosceles triangle have rotational symmetry?

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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.

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## Related Questions

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Pascal's triangle is a geometric arrangement of binomial coefficients in a triangle. Its construction is related to the binomial coefficients by Pascal's rule. This intricate number pattern was named after Blaise Pascal, a French mathematician, although it was known about by the Chinese and studied for 500 years before Pascal.

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A rectangle has two lines of symmetry. It can be folded horizontally and vertically, from the middle of the sides, but it cannot be folded corner to corner to achieve a line of symmetry.

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The formula is Area = ½ times (Base times Height) or Area = (Base times Height) divided by 2. Finding the area of an isosceles or right triangle is easy as long as the length of the base and the height are known.

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Pascal's Triangle, named after French mathematician Blaise Pascal, is used in various algebraic processes, such as finding tetrahedral and triangular numbers, powers of two, exponents of 11, squares, Fibonacci sequences, combinations and polynomials. The triangle was actually invented by the Indians and Chinese 350 years before Pascal's time.