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Published byWinfred Atkinson Modified over 6 years ago

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For This Lesson... You will need: a straightedge

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Homework Lesson 10.1 The Geometry of Solids Handout

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**Lesson 10.1 The Geometry of Solids Objective**

To learn the vocabulary of polyhedrons--prisms, pyramids, spheres, cylinders, and cones.

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The Geometry of Solids What do we call a two dimensional geometric figure? What is a three dimensional geometric figure called?

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The Geometry of Solids Some real-world geometric solids occur in nature: crystals diamonds graphite

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**The Geometry of Solids Other geometric solids are man-made: baseballs**

hockey pucks

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**The Geometry of Solids Other geometric solids are man-made: soup cans**

buildings

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**The Geometry of Solids Polyhedron**

- a solid formed by polygons that enclose a single region in space.

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**The Geometry of Solids Faces**

- the flat polygonal surfaces of a polyhedron. Edge - a segment where two faces intersect. Vertex - the point of intersection of three or more edges.

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**What type of polygon is this???**

The Geometry of Solids What type of polygon is this??? How do we know??

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**** A polyhedron is classified by its number of faces.**

The Geometry of Solids ** A polyhedron is classified by its number of faces. ** Exception: a polyhedron with four faces is called a tetrahedron.

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**The Geometry of Solids Regular Polyhedron**

each face is enclosed by a regular polygon. each face is congruent to the other faces. the faces meet at each vertex in exactly the same way.

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**The lateral faces meet to form the lateral edges.**

The Geometry of Solids What is a prism??? Prism - a polyhedron with two faces (bases) that are congruent, parallel polygons. The other faces are called lateral faces that are parallelograms. The lateral faces meet to form the lateral edges.

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*** Its lateral edges are perpendicular to its bases.**

The Geometry of Solids Right Prism - a prism whose lateral faces are rectangle. * Its lateral edges are perpendicular to its bases.

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The Geometry of Solids A prism that is not a right prism is called an oblique prism. * The length of the altitude is the height of the prism.

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**The Geometry of Solids Pyramid**

- a solid with one base whose lateral edges meet at a common vertex. The altitude of the pyramid is the perpendicular segment from its vertex to the plane of the base.

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**The Geometry of Solids Sphere**

- is the set of all points in space at a given distance from a point.

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**(plane that passes through the center)**

The Geometry of Solids Hemisphere - is half a sphere and its circular base. The circle that encloses the base of a hemisphere is called a GREAT CIRCLE. (plane that passes through the center)

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**The Geometry of Solids Cylinder**

- a solid with parallel, congruent, circular bases. If the axis of a cylinder is perpendicular to the bases, then the cylinder is a right cylinder.

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**The Geometry of Solids Cone**

- a solid with one circular base and a vertex.

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