Q: Context: A regular octagon is a closed figure with sides of the same length and internal angles of the same size. It has eight lines of reflective symmetry and rotational symmetry of order 8. A regular octagon is represented by the Schläfli symbol (8). The internal angle at each vertex of a regular octagon is 135 ° (3 π 4 ( \ displaystyle \ scriptstyle ( \ frac ( 3 \ pi) (4) ) ) radians ). The central angle is 45 ° (π 4 ( \ displaystyle \ scriptstyle ( \ frac ( \ pi) (4) ) ) radians ).\n\nQuestion: how many lines of symmetry in an octogon?
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To answer the question, consider the following: It has eight lines of reflective symmetry and rotational symmetry of order 8. So the answer is eight.
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