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**3.4 Polyhedrons and Prisms**

Objective: to name polyhedrons and prisms

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**Warm Up Classify each polygon. 1. a polygon with three congruent sides**

2. a polygon with six congruent sides and six congruent angles 3. a polygon with four sides and with opposite sides parallel and congruent equilateral triangle regular hexagon parallelogram

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Vocabulary Polyhedron – a three-dimensional figure in which each surface is shaped like a polygon Face – a flat surface that is shaped like a polygon Edge – the segment formed by the intersection of two faces Vertex – a point at which three or more edges intersect Prism – a polyhedron with two faces that have the same size and shape and lie in parallel planes Base – the two faces on a prism that are parallel to each other Cylinder – is not a prism because it has two circles as bases Pyramid – is not a prism because it does not have two bases Lateral face – the faces that are not the bases, they are shaped like a parallelogram. Right – all lateral faces are rectangles that lie in planes perpendicular to the bases. Oblique – figures that are not right, they are slanted like they are getting pushed over.

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Three-dimensional figures, or solids, can be made up of flat or curved surfaces. Each flat surface is called a face. An edge is the segment that is the intersection of two faces. A vertex is the point that is the intersection of three or more faces.

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**A cube is a prism with six square faces**

A cube is a prism with six square faces. Other prisms and pyramids are named for the shape of their bases.

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**Example 1A: Classifying Three-Dimensional Figures**

Classify the figure. Name the vertices, edges, and bases. cube vertices: A, B, C, D, E, F, G, H edges: bases: ABCD, EFGH, ABFE, DCGH, ADHE, BCGF Is this a prism?

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**Example 1B: Classifying Three-Dimensional Figures**

Classify the figure. Name the vertices, edges, and bases. pentagonal pyramid vertices: A, B, C, D, E, F edges: base: ABCDE Is this a prism?

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Check It Out! Example 1a Classify the figure. Name the vertices, edges, and bases. cone vertex: N M edges: none base: •M Is this a prism?

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Check It Out! Example 1b Classify the figure. Name the vertices, edges, and bases. triangular prism vertices: T, U, V, W, X, Y edges: bases: ∆TUV, ∆WXY Is this a prism?

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Check It Out! Example 3a Is this a prism? If it is name it. Hexagonal prism

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**Example 4A: Food Application**

Is this piece of cheese a prism? If it is, name it. Triangular Prism

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Check It Out! Example 4 Is this watermelon a prism? If so, name it. Cube or rectangular prism

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Lesson Quiz: 1. Classify the figure. Name the vertices, edges, and bases. triangular prism; vertices: A, B, C, D, E, F; bases: ∆ABC and ∆DEF edges:

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Homework section 3-4 # 1-19

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