Question

a right - rectangular pyramid is shown.
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

rectangle trapezoid triangle

Explanation:

• A slice parallel to the rectangular base will match the shape of the base, scaled down.
• A diagonal slice through the pyramid (not parallel or perpendicular to the base) cuts through 4 faces, forming a trapezoid.
• A slice perpendicular to the base that passes through the apex and opposite edges of the rectangular base forms a triangle.

Answer:

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