Presentation on theme: "3.4 Polyhedrons and Prisms"— Presentation transcript:
1 3.4 Polyhedrons and Prisms Objective: to name polyhedrons and prisms
2 Warm Up Classify each polygon. 1. a polygon with three congruent sides 2. a polygon with six congruent sides and six congruent angles3. a polygon with four sides and with opposite sides parallel and congruentequilateral triangleregular hexagonparallelogram
3 VocabularyPolyhedron – a three-dimensional figure in which each surface is shaped like a polygonFace – a flat surface that is shaped like a polygonEdge – the segment formed by the intersection of two facesVertex – a point at which three or more edges intersectPrism – a polyhedron with two faces that have the same size and shape and lie in parallel planesBase – the two faces on a prism that are parallel to each otherCylinder – is not a prism because it has two circles as basesPyramid – is not a prism because it does not have two basesLateral 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.
4 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.
6 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.
7 Example 1A: Classifying Three-Dimensional Figures Classify the figure. Name the vertices, edges, and bases.cubevertices: A, B, C, D, E, F, G, Hedges:bases: ABCD, EFGH, ABFE, DCGH, ADHE, BCGFIs this a prism?
8 Example 1B: Classifying Three-Dimensional Figures Classify the figure. Name the vertices, edges, and bases.pentagonal pyramidvertices: A, B, C, D, E, Fedges:base: ABCDEIs this a prism?
9 Check It Out! Example 1aClassify the figure. Name the vertices, edges, and bases.conevertex: NMedges: nonebase: •MIs this a prism?
10 Check It Out! Example 1bClassify the figure. Name the vertices, edges, and bases.triangular prismvertices: T, U, V, W, X, Yedges:bases: ∆TUV, ∆WXYIs this a prism?
11 Check It Out! Example 3aIs this a prism? If it is name it.Hexagonal prism
12 Example 4A: Food Application Is this piece of cheese a prism? If it is, name it.Triangular Prism
13 Check It Out! Example 4Is this watermelon a prism? If so, name it.Cube or rectangular prism
14 Lesson Quiz:1. Classify the figure. Name the vertices, edges, and bases.triangular prism;vertices: A, B, C, D, E, F;bases: ∆ABC and ∆DEFedges: