Question

which figures have a triangle cross - section? choose all that apply.

Explanation:

• Option A: A pyramid (the figure in option A) can have a triangular cross - section when cut through its apex and two non - adjacent base vertices.
• Option B: A triangular prism (the figure in option B) can have a triangular cross - section when cut parallel to its triangular bases.
• Option C: A cube (the figure in option C) has cross - sections like squares, rectangles, and hexagons, but not triangles.
• Option D: A cone (the figure in option D) has cross - sections like circles (when cut parallel to the base) and ellipses (when cut at an angle not through the vertex), but not triangles.
• Option E: A cylinder (the figure in option E) has cross - sections like circles (when cut parallel to the base) and rectangles (when cut perpendicular to the base), but not triangles.

Answer:

A. Pyramid figure, B. Triangular prism figure