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How many planes can pass through two given points?
There are an infinite number of planes that pass through a pair of points. Select any plane that passes through both the points and then rotate it along the line joining the two points.
How many planes in a cube pass through three or more vertexes?
There are 56 such planes.
How many planes can pass through one point?
I would say that there are an infinite number of planes that can pass through a pair of skew lines. In order to find the equation of a plane, all you need is three points. take two points off of one line and one point off of the other line and you should be able to derive the equation of a plane. Since the number of points on a line is infinite, an infinite number of planes can be derived.
How many lines pass through points f and g?
exactly one
How many lines of symmetry are in a regular octagon?
It has 8. Each passes through the centre. Four pass through vertices, four pass through the mid-points of opposite sides
