Question

identify the two - dimensional figure(s) that can be created by different plane slices to the pyramid. move the names of the possible figure(s) that can be created by each slice description to the table. slice description,parallel to the base,diagonal to the base,perpendicular to the base,possible two - dimensional figure(s) created,rectangle,trapezoid,triangle

Explanation:

Step1: Analyze parallel - to - base slice

When a plane slice is parallel to the base of a pyramid, if the base is a polygon, the cross - section is a similar polygon. For a regular pyramid, it can be a rectangle (in some special cases like a rectangular - based pyramid) or a polygon similar to the base. But generally, for a non - rectangular based pyramid, we can get a polygon similar to the base. Here, if the base is rectangular, a rectangle can be formed.

Step2: Analyze diagonal - to - base slice

When a plane slice is diagonal to the base of a pyramid, a trapezoid can be formed. The non - parallel sides of the trapezoid are formed by the intersection of the slice with the non - parallel edges of the pyramid.

Step3: Analyze perpendicular - to - base slice

When a plane slice is perpendicular to the base of a pyramid, a triangle can be formed. If the slice passes through the apex of the pyramid and is perpendicular to the base, the cross - section is a triangle.

Answer:

Slice Description	Parallel to the base	Diagonal to the base	Perpendicular to the base