Question

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

	yes	no
cylinder	unselected yes	selected no
square pyramid	selected yes	unselected no
rectangular prism	selected yes	unselected no
cone	unselected yes	selected no (with hand icon)

Explanation:

Step1: Analyze Triangular Prism

A triangular prism, when sliced perpendicular to its base (which is a triangle), can have a trapezoidal cross - section. If the slice is not parallel to the lateral faces in a way that would give a triangle or a rectangle, a trapezoid is possible. So the 'Yes' selection for triangular prism is correct.

Step2: Analyze Cylinder

A cylinder, when sliced perpendicular to its base (a circle), will have a rectangular cross - section (if sliced vertically) or a circle (if sliced horizontally). It cannot have a trapezoidal cross - section. So the 'No' selection for cylinder is correct.

Step3: Analyze Square Pyramid

A square pyramid, when sliced perpendicular to its base (a square) and not through the apex, can have a trapezoidal cross - section. The sides of the trapezoid would be formed by the slant edges of the pyramid. So the 'Yes' selection for square pyramid is correct.

Step4: Analyze Rectangular Prism

A rectangular prism, when sliced perpendicular to its base (a rectangle) at an angle that is not parallel to the faces, can result in a trapezoidal cross - section. So the 'Yes' selection for rectangular prism is correct.

Step5: Analyze Cone

A cone, when sliced perpendicular to its base (a circle), will have a triangular cross - section (if sliced through the apex) or a circular segment - like shape, but not a trapezoid. So the 'No' selection for cone is correct.

Answer:

The selections made (triangular prism: Yes, cylinder: No, square pyramid: Yes, rectangular prism: Yes, cone: No) are correct based on the cross - sectional properties of each solid.