Yes.
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Unit 15 Section 3 : SymmetrySymmetries in regular polygons (http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i15/bk8_15i3.htm)Look at the regular heptagon below. A heptagon is a shape with seven sides and this one has equal sides and equal angles. You can see that there are seven lines of symmetry, and the regular heptagon also has rotational symmetry order seven.
A regular heptagon.
No, it has seven.
A heptagon has seven sides, so a regular heptagon has seven lines of symmetry (they run from each vertex to the middle of the opposite side).
Yes a pentagon does have reflection symmetry