How is the number of lines of symmetry for a regular polygon connected to the number of sides of the polygon?

Excluding some quadrilaterals, some polygons like a hexagon or square have the same amount of lines of symmetry as they do sides.

Answered by marleyschultz | 2024-06-10

The number of lines of symmetry for a regular polygon is equal to the number of its sides. Each line of symmetry passes through vertices and midpoints, dividing the polygon into mirrored halves. This principle reflects broader symmetries found in nature and the fundamental laws of physics. ;

Answered by Donald1012 | 2024-06-18

The number of lines of symmetry in a regular polygon matches the number of its sides. For example, a triangle has 3 sides and 3 lines of symmetry, while a square has 4 sides and 4 lines of symmetry. This fundamental property highlights the connection between symmetry and the structure of regular polygons.
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Answered by Donald1012 | 2024-12-11