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Exploring Polyhedra and Cross-Sections in Geometry

This homework assignment focuses on Euler's Theorem and its application in determining the number of edges in a figure with 6 vertices and 4 faces. Students will also identify non-polyhedral figures and analyze the properties (faces, edges, vertices) of various geometric shapes, including cylinders, prisms, tetrahedrons, and spheres. Additionally, they will make educated guesses about the cross-sections formed when these shapes are intersected by a plane. Engagement with these concepts enhances understanding of geometric relationships and properties.

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Exploring Polyhedra and Cross-Sections in Geometry

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  1. Homework: pg. 798-799/2-20, 32 Warm Up: 1. Use Euler's Theorem to find out how many edges a figure with 6 vertices and 4 faces would have. 2. Name a figure that is not a polyhedron 3. How many faces, edges and vertices to the following figures have:

  2. Homework Questions?

  3. right cylinder rectangular prism tetrahedron sphere Homework: pg. 798-799/2-20, 32 cube triangular prism square pyramid triangular prism pentagonal pyramid cone

  4. Make a guess about what shape you would fill in each blank (There 
may be more than one right answer!): A sphere is intersected by a plane. The cross section is a 
________________________________.

  5. A cone is intersected by a plane. The cross section 
is a __________________________________.

  6. A cylinder is intersected by a plane. The cross section 
is a ____________________________.

  7. A cube is intersected by a plane. The cross section is a 
__________________________________.

  8. Attachments words1.docx

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