Question

here is a right cone:
image of a blue right cone
what are the two shapes of cross - sections we could create by slicing the cone perpendicular to its base?
choose 2 answers:
□ a rectangle
□ b triangle
□ c shape with two edges, one straight and one curved
□ d circle

Explanation:

1. Analyze the right cone's structure: A right cone has a circular base and a pointed apex. When slicing perpendicular to the base:

• If we slice through the apex (along the central axis), the cross - section is a triangle (with the base as the diameter of the circular base and the two equal sides as the slant height from the apex to the base's edge).
• If we slice not through the apex (but still perpendicular to the base), the cross - section will have one straight edge (from the slice) and one curved edge (following the cone's surface), matching option C. A rectangle is not a possible cross - section here as the cone has a curved surface. A circle is the base itself, and slicing perpendicular to the base (except at the base) won't give a circle.

Answer:

B. Triangle, C. Shape with two edges, one straight and one curved