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Question
multiple choice 1 point 5 a right hexagonal prism is shown. a two - dimensional cross section that is perpendicular to the base is taken from the prism. which figure describes the two - dimensional figure? hexagon pentagon rectangle triangle clear my selection previous
Step1: Analyze the Prism Type
The figure is a right hexagonal prism. A right prism has lateral faces that are rectangles, and when a cross - section is taken perpendicular to the base (the hexagonal base), we are looking at the lateral face or a cross - section parallel to the lateral faces.
Step2: Determine the Cross - Section Shape
The base of a right hexagonal prism is a hexagon, but a cross - section perpendicular to the base will be a rectangle. This is because the lateral edges are perpendicular to the base, and the intersection of a plane perpendicular to the base (which is also perpendicular to the lateral edges) with the prism will form a rectangle. The length of the rectangle will be related to the distance between two opposite lateral faces, and the width will be related to the length of the lateral edge (or the height of the prism).
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Rectangle