Question

write a description of what it takes for two prisms to be similar.
choose the correct answer below
a. two prisms are similar as long as their bases are similar and they have the same volume
b. two prisms are similar if, and only if, they are also congruent
c. two prisms are similar as long as their bases are similar
d. two prisms are similar as long as their bases are similar and all lengths of corresponding sides are proportional

Explanation:

• For two prisms to be similar, the bases must be similar (shapes are the same, just scaled).
• Also, all corresponding linear dimensions (sides) must be in proportion. Volume is not a requirement for similarity (eliminates A). Congruent prisms are a special case of similar prisms (where the scale factor is 1), but similarity does not mean congruence (eliminates B). Just having similar bases is not enough (eliminates C).

Answer:

D. Two prisms are similar as long as their bases are similar and all lengths of corresponding sides are proportional