Geometry 10-1 Space Figures and Nets. Vocabulary Polyhedron – A solid formed by polygons that enclose a single region of space Face – Flat polygon surfaces.

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Presentation transcript:

Geometry 10-1 Space Figures and Nets

Vocabulary Polyhedron – A solid formed by polygons that enclose a single region of space Face – Flat polygon surfaces of a polyhedron Edge – A segment where two faces intersect on a polyhedron Vertex – A point of intersection of three or more edges on a polyhedron

Vocabulary Polyhedron – A solid formed by polygons that enclose a single region of space Face – Flat polygon surfaces of a polyhedron Edge – A segment where two faces intersect on a polyhedron Vertex – A point of intersection of three or more edges on a polyhedron

Vocabulary Just as a polygon is classified by its number of sides, a polyhedron is classified by its number of faces. The prefixes for polyhedrons are the same as they are for polygons with one exception: A polyhedron with four faces is called a tetrahedron.

Vocabulary Regular Polyhedron – A polyhedron where each face is a regular polygon, each face is congruent to all other faces, and the faces meet at the vertex in exactly the same way.

Nets Net – A two dimensional pattern that can be folded to form a three dimensional figure

Nets - Examples

Nets - Practice

Practice Problems

Nets - Practice

Space Figures and Nets Day 2

Group Activity In groups of 3 or 4 Supplies –Toothpicks –Some Play Dough

Group Activity Build the following in each group

Group Activity Build the following in each group

Group Activity Classify all of the polyhedrons by name

Group Activity

Euler’s Formula In a polyhedron E + 2 = F + V Where E is the number of edges F is the number of faces V is the number of vertices

Group Activity

Practice Problems

Homework Pages 514 – – 9, , 16, 18, 20 – 23, 29, 42

Honors Homework Pages 514 – – 9, , 16, 18, 20 – 23, , 34, 42