Symmetries 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.
Yes.
It has 7 lines of symmetry
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).
Reflection symmetry, reflectional symmetry, line symmetry, mirror symmetry, mirror-image symmetry, or bilateral symmetry is symmetry with respect to reflection
None - it has rotational symmetry - not reflection symmetry.
Yes.
In a regular heptagon, there are 7 lines of symmetry because there is one line of symmetry for every side.
It has 7 lines of symmetry
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).
Reflection symmetry, reflectional symmetry, line symmetry, mirror symmetry, mirror-image symmetry, or bilateral symmetry is symmetry with respect to reflection
None - it has rotational symmetry - not reflection symmetry.
A heptagon can have 0, 1 or 7 lines of symmetry.
In general, no. But it can have 7.
A regular heptagon.
A heptagon has seven sides, so it will have seven lines of symmetry. Each line of symmetry will pass through a vertex and the midpoint of the opposite side. These lines divide the heptagon into mirror-image halves, making it symmetrical.
reflection
A heptagon can have 7 lines of symmetry but it need not have any. It will have 7*(7-3)/2 = 7*4/2 = 14 diagonals.