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.
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∙ 15y agofive
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.
It meed not have any.
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.
a hexagonal pyramid has 8 faces
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
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.
the hexagonal pyramid has 7 vertices
A Hexagonal Pyramid Has 7 Faces!
a hexagonal pyramid has 8 faces
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.