Geometry
posted by Clair .
Describe the characteristics that a pyramid must have for it to have an axis of rotational symmetry.

Geometry 
MathMate
It must be a right pyramid (i.e. not skewed). A vertical dropped from the vertex must fall into the middle of the base.
The base must possess rotational symmetry.
The order (n) of rotational symmetry of the base decides that of the pyramid.
A rectangle or a parallelogram will give a rotational symmetry of order 2. An equilateral triangular base gives n=3, etc.
Read the following article which gives a lot more insight on the subject:
http://en.wikipedia.org/wiki/Rotational_symmetry 
Geometry 
Clair
Thank you MathMate for your help and the link.
Respond to this Question
Similar Questions

Geometry
Can someone please kind enough to explain this questions for me. Thank you What are some examples of other important polyhedra? 
Math
Describe all symmetries of an oval. A) 4 lines of reflectional symmetry B) 2 lines of reflectional symmetry, 180 degrees rotational symmetry. C) 2 lines of reflectional symmetry. D) 4 lines of relectional symmetry, 90 degrees rotational … 
geometry
describe the characteristics that a pyramid must have for it to have an axis of rotational symmetry 
Math
What characteristics help you determine whether a polyhedron is regular or irregular? 
geometry
A pyramid must have all equilateral triangles for faces for it to have an axis of symmetry. True or False? 
Geometry
How do the axes of rotational symmetry of an octahedron compare to the axes of rotational symmetry of a cube? 
Math
Describe objects that have each of the following type of symmetry (a) line (b) point (c)plane (d) 90% rotational 
math
Multiple choice question. Describe all symmetries of a square. A) 2 lines of reflectional symmetry B) 2 lines of reflectional symmetry, 180 degree rotational symmetry C) 4 lines of reflectional symmetry D) 4 lines of reflectional symmetry, … 
geometry
Which type(s) of symmetry does the uppercase letter H have? 
Algebra 1
What type of symmetry does the graph of y = x3 exhibit?