What is the line of symmetry of a semi-circle? Does it have rotational symmetry?

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The line of symmetry of a semicircle is the vertical line that passes through its center, perpendicular to the base (the diameter). This line divides the semicircle into two mirror-image halves. Yes, a semicircle does have rotational symmetry, but its order is 1, meaning that it only matches...
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The line of symmetry of a semicircle is the vertical line that passes through its center, perpendicular to the base (the diameter). This line divides the semicircle into two mirror-image halves. Yes, a semicircle does have rotational symmetry, but its order is 1, meaning that it only matches its original shape in one orientation through a full 360-degree rotation. However, if we consider the concept of rotational symmetry in the context of being able to rotate an object less than a full circle (360 degrees) and have it appear the same, then a semicircle exhibits rotational symmetry of order 2 when rotated 180 degrees around the midpoint of its diameter. This is because flipping it 180 degrees around this point will present the same shape and orientation due to its symmetrical nature. read less
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