Draw and label a hexagonal prism then identify each of the following a. Parallel planes,b.skew lines,c. Intersecting planes

Mathematics

1 answer:

Natasha_Volkova [10]4 years ago

5 0

Explanation:

a) Opposite faces of a regular hexagonal prism are parallel. For each of the four "visible" numbered faces in the attachment, the opposite (parallel) face is not numbered.

b) Skew lines are ones that cannot reside in the same plane. They are not parallel and do not intersect. The blue arrows in the attached show an example of a pair of skew lines. Any of the base edges will be skew with any lateral face edge that it does not intersect. Any base edge will be skew with any non-parallel edge of the opposite base.

c) Any edge of the figure is where planes intersect. In general, any pair of planes that are not parallel will be intersecting planes. So, for each plane of the figure, there are 6 other intersecting planes. (The line where the planes intersect is not always shown.) For example, planes 1 and 2 in the figure are intersecting planes.