Question

the cross section of a solid figure sliced perpendicular to its base is shown.
image of a triangle
decide whether or not the cross section could have come from each of the figures listed below

	yes	no
cone	○	○
rectangular prism	○	○
square pyramid	○	○
triangular prism	○	○

Explanation:

Step1: Analyze Cylinder

A cylinder's cross - section perpendicular to the base is a rectangle (or square). A triangle cannot be obtained from a cylinder's cross - section perpendicular to the base. So for cylinder, the answer is No.

Step2: Analyze Cone

When a cone is sliced perpendicular to its base, the cross - section is a triangle (an isosceles triangle). So for cone, the answer is Yes.

Step3: Analyze Rectangular Prism

A rectangular prism's cross - section perpendicular to the base is a rectangle (or square). A triangle cannot be obtained from a rectangular prism's cross - section perpendicular to the base. So for rectangular prism, the answer is No.

Step4: Analyze Square Pyramid

When a square pyramid is sliced perpendicular to its base (through the apex), the cross - section is a triangle (an isosceles triangle). So for square pyramid, the answer is Yes.

Step5: Analyze Triangular Prism

When a triangular prism is sliced perpendicular to its base, the cross - section is a triangle (congruent to the base triangle). So for triangular prism, the answer is Yes.

Answer:

• Cylinder: No
• Cone: Yes
• Rectangular Prism: No
• Square Pyramid: Yes
• Triangular Prism: Yes