- a) There are 8 points as shown by the 8 letters (A through H)
- b) There are 9 lines. This is because there are 3 lines per triangle, to make up each base face, and 3 lateral lines also. An example of a lateral line is segment AD.
- c) There are 5 planes to represent each face of this triangular prism (2 base faces + 3 lateral faces = 5 faces total)
- d) You are correct. Points F, H and C are all on the same line; hence they are collinear.
- e) Name any four points that are on the same plane or face. One example could be A, C, D, F which is the slanted side on the right (it's a rectangle).
- f) Line segment AB is the answer. Notice how "AB" is found in ABC and ABE. This is the shared segment between the faces.
- g) Plane BCH is the same as plane BEF. I'm replacing CH with EF to show that EF is in common between planes BEF and DEF. This is a shared edge line. The final answer is line segment EF.
- h) Point D is the answer. The letter D is found in AD and DF. This is the shared corner point between the segments.
The answers are summarized below.