A regular decagon has 10 lines of symmetry. To understand why, let’s break it down.
A regular decagon is a polygon with 10 equal sides and 10 equal angles. The lines of symmetry in any polygon can be found by imagining how many ways you can fold the shape so that it matches perfectly on both sides.
In the case of a regular decagon, each vertex can be connected to the midpoint of the opposite side, creating a line of symmetry. Additionally, you can draw lines through the midpoints of opposite sides. This means you have 10 vertices, and therefore 10 lines of symmetry. Thus, it is symmetrically balanced from both the vertex and side perspectives.
In summary, the regular decagon’s symmetrical properties can be attributed to its uniform shape, which allows for those 10 lines of symmetry to exist.