Question

which shape(s) could have this figure as a base? image of a right triangle pyramid cylinder sphere prism cone

Explanation:

Step1: Analyze Pyramid

A pyramid has a base that can be a polygon (including a triangle). A triangular pyramid (tetrahedron) has a triangular base, so a pyramid can have a triangle as its base.

Step2: Analyze Cylinder

A cylinder has a circular base, not a triangular one, so cylinder is out.

Step3: Analyze Sphere

A sphere has no flat base, so sphere is out.

Step4: Analyze Prism

A triangular prism has two triangular bases (and three rectangular faces), so a prism can have a triangle as its base.

Step5: Analyze Cone

A cone has a circular base, not a triangular one, so cone is out.

Answer:

A. pyramid, D. prism