vertex – a point at which two or more edges meet edge – a line segment at which two faces...
TRANSCRIPT
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• Vertex – A point at which two or more edges meet
• Edge – A line segment at which two faces intersect
• Face – A flat surface
Vertices, Edges, Faces
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Vertices, Edges, Faces
• Name the following figures, and tell how many vertices, edges, and faces they have
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Cross Sections
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Definitions
• Polyhedron:
A solid that is made up of polygons (called faces) that enclose a single region in space.
Classify whether the 3-D figure is a polyhedron or not.
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• Convex Polyhedron:
If any two points on the surface can be connected by a segment that lies on the interior, or on, the polyhedron.
Classify whether the 3-D figure is a convex polyhedron
or not.
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• Regular Polyhedron:
A convex polyhedron in which all the faces are regular polygons.
Classify whether the 3-D figure is a regular convex
polyhedron or not.
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• Cross Section:
The intersection of a plane and a solid.
Identify the cross section of the plane and the 3-D figure.
Cross Section
Pyramid
Plane
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Classify whether the figure is a polyhedron. If it is, what kind and why? If it is not, why?
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Describe the shape formed by the intersection of the plane and the 3-D figure.
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If we cut the figure with a plane, parallel to the base, what shape would be formed?
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If we cut the figure with a plane, perpendicular to the base, what shape
would be formed?