A regular pentagon has five angles of rotational symmetry, each of 72°. The pentagon appears identical after rotations of 72°, 144°, 216°, 288°, and 360°, reflecting its symmetrical and repetitive design.
class 6 Mathematics Textbook Chapter 9 question answer
class 6 Mathematics Chapter 9 Symmetry solutions
A regular pentagon has five angles of rotational symmetry: 72°, 144°, 216°, 288°, and 360°. These angles correspond to equal divisions of a 360° rotation, as the pentagon has five equal sides and vertices. After rotating the pentagon by each of these angles, the shape will align with its original position. The high order of symmetry in a pentagon makes it a useful shape in both geometric and artistic designs, contributing to balance and aesthetic harmony.
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