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Geometry Notes 10.1 Solid Geometry Intro – Classify each polygon ...

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<strong>Geometry</strong><br />

<strong>Notes</strong> <strong>10.1</strong> <strong>Solid</strong> <strong>Geometry</strong><br />

<strong>Intro</strong> – <strong>Classify</strong> <strong>each</strong> <strong>polygon</strong>.<br />

1. a <strong>polygon</strong> with three congruent sides<br />

2. a <strong>polygon</strong> with six congruent sides and six congruent angles<br />

3. a <strong>polygon</strong> with four sides and with opposite sides parallel and congruent<br />

Types of <strong>Solid</strong>s (3-D figures):<br />

Prism Pyramid Cone Cylinder Sphere<br />

Cube:<br />

Other prisms and pyramids are names for the shape of their bases<br />

Face<br />

Edge<br />

Vertex


Example 1: Decide whether the solid is a polyhedron. If so, count the number of faces, vertices,<br />

and edges of the polyhedron.<br />

a.) b.) c.)<br />

Euler’s Theorem (Only applies to Polyhedrons)<br />

Example 2: Calculate the number of vertices of the solid using the given information.<br />

a.) 20 faces b.) 14 faces c.) 8 faces<br />

all triangles 8 hexagons 4 hexagons<br />

6 squares 4 triangles<br />

Nets


Cross Section<br />

Regular Polyhedron

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