Question

question 9 of 10

a \\_\\_\\_\\_\\_ has cross-sectional shapes, taken parallel to a base, that are similar but not congruent to one another.

a. polygon
b. prism
c. cube
d. pyramid

Explanation:

Analyze cross-sections of prisms and cubes

$$ \text{Cross-sections parallel to the base of a prism (or cube) are congruent to the base.} $$

Analyze cross-sections of a pyramid

$$ \text{Cross-sections parallel to the base of a pyramid are similar, but not congruent, to the base (scaling down to the apex).} $$

Evaluate the options

$$ \text{A polygon is a 2D shape. A prism and a cube have congruent cross-sections. A pyramid fits the definition.} $$

Answer:

• A. polygon
• B. prism
• C. cube
• D. pyramid (Correct answer)