Answer:
a) Intersecting lines.
b) Parallel lines.
c) Skew lines.
d) Intersecting planes.
e) Parallel planes.
Explanation:
A prism is a polyhedron that has:
- Two bases that are congruent and parallel to each other.
- Lateral sides that are parallelograms and link the two bases.
- Height that is the distance between the two bases.
From inspection of the give diagram, the figure appears to be a triangular prism with triangular bases ADE and BCF.
Lines
- Parallel lines are lines on a plane that never meet and are the same distance apart.
- Intersecting lines cross each other in a plane and share a common point called the point of intersection.
- Skew lines are a pair of non-coplanar lines that do not intersect, and are not parallel to each other.
Planes
A plane is a flat, two-dimensional surface that extends into infinity.
A plane can be named by the letters naming three non-collinear points in the plane.
- Parallel planes are planes that never intersect.
- Intersecting planes are not parallel and always intersect along a line.
a) AB and BC are intersecting lines as they share the common point B.
b) AE and BF are parallel lines because they both lie on the plane ABF, do not intersect and are the same distance apart.
c) EF and AD are skew lines because the do not lie on the same plane, they do not intersect and they are not parallel.
d) Plane ABC and plane ABF are intersecting planes as they intersect along line AB.
e) Plane AED and plane BFC are parallel planes as they are the bases of the prism and never intersect.