Infinitely many.
1
An infinite number of lines.
A sphere has an infinite number of planes of symmetry. The plane must include the center of the sphere, but it can tilt at any angle. The question is the same as asking "How many planes can be drawn through one point ?" The answer is: An infinite number. And as long as the point is the center of the sphere, each plane is a plane of symmetry of the sphere.
Given a line, there are an infinite number of different planes that it lies in.
Infinitely many.
only 1
1
An infinite number of lines.
A sphere has an infinite number of planes of symmetry. The plane must include the center of the sphere, but it can tilt at any angle. The question is the same as asking "How many planes can be drawn through one point ?" The answer is: An infinite number. And as long as the point is the center of the sphere, each plane is a plane of symmetry of the sphere.
four.
Given a line, there are an infinite number of different planes that it lies in.
A vertex is a point and so does not have any sides. In 2-dimensional space, there must be at least 2 lines meeting at a vertex and in 3-dimensional space, there must be at least 3 planes.
There are 56 such planes.
26
26
No, perpendicular planes intercept at only one point. Parallel planes do not intersect at all.