Question

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

Explanation:

Step1: Analyze pyramid

A pyramid can have a triangle cross - section when cut in a certain way. For example, a triangular pyramid or when a square - based pyramid is cut from the apex to the base along a plane that passes through the apex and two non - adjacent vertices of the base.

Step2: Analyze triangular prism

A triangular prism has a triangular cross - section parallel to its bases.

Step3: Analyze cube

A cube's cross - section can be a square, rectangle, triangle (by cutting through three non - parallel edges), etc. When cut in a particular way through three non - parallel edges, it can have a triangle cross - section.

Step4: Analyze cone

A cone can have a triangle cross - section when cut through its axis (a plane passing through the vertex and the center of the base).

Step5: Analyze cylinder

A cylinder's cross - sections are circles (when cut parallel to the bases) or rectangles (when cut perpendicular to the bases), not triangles.

Answer:

A. Pyramid, B. Triangular prism, C. Cube, D. Cone