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Brad cuts a triangular prism with a plane parallel to the base of the prism. What will the shape of the cross section be?
Triangular
What is a cross section of a cube?
It depends on the angle of the plane of the cross section. If it is parallel to the cube's face (or equivalently, two adjacent edges) the cross section will be a square congruent to the face. If the plane is parallel to just one edge (and so angled to a face), the cross section will be a rectangle which will have a constant width. Its length will increase, remain at a maximum level and then decrease. If neither, it will be a hexagon-triangle-hexagon-triangle-hexagon (triangles when passing through a vertex).
What are Lines that do not cross?
Parallel
How is a cylinder like a prism?
Both, a cylinder and a prism have two faces (bases) at either end. These are parallel and identical. A plane that is parallel to these bases will cut the cylinder (or prism) in identical cross sections.
The vertical cross-sectional shapes of this prism are all congruent triangles?
false
