1. Introduction to Three-Dimensional Introduction to Three-Dimensional10-1 Figures 10-1 Figures Warm Up Problem of the Day Lesson PresentationCourse 2 2 Course
2. Introduction to Three-Dimensional10-1 Figures Warm Up Identify each two-dimensional figure described. 1. four sides that are all congruent rhombus 2. six sides hexagon 3. four sides with parallel opposite sides parallelogram 4. four right angles and four congruent sides squareCourse 2
3. Introduction to Three-Dimensional10-1 Figures Problem of the Day If the figure shown is folded into a cube so that 6 is on the top, what number would be on the bottom? 2Course 2
4. Introduction to Three-Dimensional10-1 Figures Learn to identify various three-dimensional figures.Course 2
5. Introduction to Three-Dimensional10-1 Figures Vocabulary face prism edge pyramid polyhedron cylinder vertex cone baseCourse 2
6. Introduction to Three-Dimensional10-1 Figures Three-dimensional figures, or solids, have length, width, and height. A flat surface of a solid is a face. An edge is where two faces meet. A polyhedron is a three-dimensional figure whose faces are all polygons. A vertex of a polyhedron is a point where three or more edges meet. The face that is used to name a polyhedron is called a base. A prism has two bases, and a pyramid has one.Course 2
7. Introduction to Three-Dimensional10-1 Figures Prisms A prism is a polyhedron that has two parallel, congruent bases. The bases can be any polygon. The other faces are parallelograms.Course 2
8. Introduction to Three-Dimensional10-1 Figures Pyramids A pyramid is a polyhedron that has one base. The base can be any polygon. The other faces are triangles.Course 2
9. Introduction to Three-Dimensional10-1 FiguresAdditional Example 1A: Naming Prisms and Pyramids Identify the bases and faces of the figure. Then name the figure. There are two octagonal bases. There are eight rectangular faces. The figure is an octagonal prism.Course 2
10. Introduction to Three-Dimensional10-1 FiguresAdditional Example 1B: Naming Prisms and Pyramids Identify the bases and faces of the figure. Then name the figure. There is one base, and it is a pentagon. There are five triangular faces. The figure is a pentagonal pyramid.Course 2
11. Introduction to Three-Dimensional10-1 FiguresAdditional Example 1C: Naming Prisms and Pyramids Identify the bases and faces of the figure. Then name the figure. There is one base, and it is a triangle. There are three triangular faces. The figure is a triangular pyramid.Course 2
12. Introduction to Three-Dimensional10-1 FiguresAdditional Example 1D: Naming Prisms and Pyramids Identify the bases and faces of the figure. Then name the figure. There are two bases, and they are both hexagons. There are six rectangular faces. The figure is a hexagonal prism.Course 2
13. Introduction to Three-Dimensional10-1 Figures Check It Out: Example 1A Identify the bases and faces of the figure. Then name the figure. There are two bases and they are both triangles. There are three rectangular faces. The figure is a triangular prism.Course 2
14. Introduction to Three-Dimensional10-1 Figures Check It Out: Example 1B Identify the bases and faces of the figure. Then name the figure. All faces and bases are congruent squares. The figure is a cube.Course 2
15. Introduction to Three-Dimensional10-1 Figures Other three-dimensional figures include cylinders and cones. These figures are not polyhedrons because they are not made of faces that are all polygons.Course 2
16. Introduction to Three-Dimensional10-1 Figures You can use properties to classify three- dimensional figures.Course 2
17. Introduction to Three-Dimensional10-1 Figures Additional Example 2A: Classifying Three- Dimensional Figures Classify each figure as a polyhedron or not a polyhedron. Then name the figure. The faces are all polygons, so the figure is a polyhedron. There is one rectangular base for each figure. The figure is made up of a rectangular pyramid and a rectangular prism.Course 2
18. Introduction to Three-Dimensional10-1 Figures Additional Example 2B: Classifying Three- Dimensional Figures Classify each figure as a polyhedron or not a polyhedron. Then name the figure. The faces are not all polygons, so the figure is not a polyhedron. There is one circular base. The figure is a cone.Course 2
19. Introduction to Three-Dimensional10-1 Figures Additional Example 2C: Classifying Three- Dimensional Figures Classify each figure as a polyhedron or not a polyhedron. Then name the figure. The faces are not all polygons, so the figure is not a polyhedron. There are two circular base. The figure is a cylinder.Course 2
20. Introduction to Three-Dimensional10-1 Figures Check It Out: Example 2A Classify each figure as a polyhedron or not a polyhedron. Then name the figure. The faces are not all polygons, so the figure is not a polyhedron. There is one circular base for the top figure and two circular bases for the bottom figure. The figure is made up of a cylinder and a cone.Course 2
21. Introduction to Three-Dimensional10-1 Figures Check It Out: Example 2B Classify each figure as a polyhedron or not a polyhedron. Then name the figure. The faces are all polygons, so the figure is a polyhedron. There are two triangular bases for the figure. The figure is a triangular prism.Course 2
22. Introduction to Three-Dimensional10-1 Figures Check It Out: Example 2C Classify each figure as a polyhedron or not a polyhedron. Then name the figure. The faces are all polygons, so the figure is a polyhedron. There is one rectangular base for the figure. The figure is a rectangular pyramid.Course 2
23. Introduction to Three-Dimensional10-1 Figures Lesson Quiz: Part I Identify the bases and faces of each figure. Then name each figure. 1. One square base, 4 triangular faces; square pyramid 2. Two pentagon bases, 5 rectangular faces; pentagonal prismCourse 2
24. Introduction to Three-Dimensional10-1 Figures Lesson Quiz: Part II Classify each figure as a polyhedron or not a polyhedron. Then name the figure. 3. polyhedron, rectangular prism polyhedron, 4. triangular prismCourse 2
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