There is, as far as I can tell, only one "line" of symmetry: the sixfold rotational axis passing through the vertex and the center of the base. In addition, there are six planes of symmetry; three that pass through opposite vertices of the hexagon and three that pass through the midpoints of the sides of the hexagon. For any pyramid in which the base is a regular polygon with n sides and the apex is above the centre of the polygon, there are nplanes of symmetry (for an even-sided polygon, half the planes pass through opposite vertices and half of them pass through the midpoints of opposite sides; for an odd-sided polygon, each plane passes through one vertex and the midpoint of the opposite side). A hexagon has six sides, so it has six planes of symmetry.
five
It meed not have any.
Regular polygons have lines of symmetry equal to the number of sides/angles that they possess so a hexagon would have 6 lines of symmetry. (: * * * * * However, the question is not about a polygon but a polyhedron! A prism with regual hexagonal bases has six lines of symmetry at the bases, but it also has a line of symmetry along the centre of its length. Furthermore, there are infinitely many lines of symmetry in the plane that divides it halfway along its length.
a hexagonal pyramid has 8 faces
A pyramid, being three-dimensional, does not have linesof symmetry.Your question should really be "How many planes of symmetry does a pyramid have?"This answer may vary, depending on your definition of symmetry. But normally the answer "Four" is accepted.
five
7
4
It meed not have any.
Regular polygons have lines of symmetry equal to the number of sides/angles that they possess so a hexagon would have 6 lines of symmetry. (: * * * * * However, the question is not about a polygon but a polyhedron! A prism with regual hexagonal bases has six lines of symmetry at the bases, but it also has a line of symmetry along the centre of its length. Furthermore, there are infinitely many lines of symmetry in the plane that divides it halfway along its length.
7
the hexagonal pyramid has 7 vertices
A Hexagonal Pyramid Has 7 Faces!
a hexagonal pyramid has 8 faces
A pyramid, being three-dimensional, does not have linesof symmetry.Your question should really be "How many planes of symmetry does a pyramid have?"This answer may vary, depending on your definition of symmetry. But normally the answer "Four" is accepted.
There are no lines of symmetry in a 3d figure.The right question is how planes of symmetry are there in a pentagonal pyramid.Then the correct answer is 5 planes of symmetry.
A triangular based pyramid has no lines of symmetry. However, if each of the non-base triangular sides are equal it will have 3 planes of symmetry. If the base triangle is also equal, it will have 6 planes of symmetry.