a right - rectangular pyramid is shown. identify the two - dimensional figure(s) that can be created by…

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 possible two - dimensional figure(s) created rectangle trapezoid triangle

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 possible two - dimensional figure(s) created rectangle trapezoid triangle

Answer

Explanation:

Step1: Analyze parallel - slice

When a plane is parallel to the base of a right - rectangular pyramid, the cross - section is similar to the base. Since the base is rectangular, the two - dimensional figure created is a rectangle.

Step2: Analyze diagonal - slice

When a plane slices diagonally through a right - rectangular pyramid, the resulting two - dimensional figure can be a trapezoid.

Step3: Analyze perpendicular - slice

When a plane is perpendicular to the base of a right - rectangular pyramid and passes through the vertex, the cross - section is a triangle.

Answer:

Slice Description Parallel to the base Diagonal to the base Perpendicular to the base
Possible Two - Dimensional Figure(s) Created Rectangle Trapezoid Triangle