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.