Gch10 l1
- 1. Holt Geometry 10-1 Solid Geometry10-1 Solid Geometry Holt Geometry Warm UpWarm Up Lesson PresentationLesson Presentation Lesson QuizLesson Quiz
- 2. Holt Geometry 10-1 Solid Geometry 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
- 3. Holt Geometry 10-1 Solid Geometry Classify three-dimensional figures according to their properties. Use nets and cross sections to analyze three-dimensional figures. Objectives
- 4. Holt Geometry 10-1 Solid Geometry face edge vertex prism cylinder pyramid cone cube net cross section Vocabulary
- 5. Holt Geometry 10-1 Solid Geometry 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. Holt Geometry 10-1 Solid Geometry
- 7. Holt Geometry 10-1 Solid Geometry A cube is a prism with six square faces. Other prisms and pyramids are named for the shape of their bases.
- 8. Holt Geometry 10-1 Solid Geometry 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 bases: ABCD, EFGH, ABFE, DCGH, ADHE, BCGF edges:
- 9. Holt Geometry 10-1 Solid Geometry Example 1B: Classifying Three-Dimensional Figures Classify the figure. Name the vertices, edges, and bases. pentagonal pyramid vertices: A, B, C, D, E, F base: ABCDE edges:
- 10. Holt Geometry 10-1 Solid Geometry Check It Out! Example 1a Classify the figure. Name the vertices, edges, and bases. vertex: N cone edges: none base: •M M
- 11. Holt Geometry 10-1 Solid Geometry Check It Out! Example 1b Classify the figure. Name the vertices, edges, and bases. triangular prism bases: ∆TUV, ∆WXY vertices: T, U, V, W, X, Y edges:
- 12. Holt Geometry 10-1 Solid Geometry A net is a diagram of the surfaces of a three- dimensional figure that can be folded to form the three-dimensional figure. To identify a three- dimensional figure from a net, look at the number of faces and the shape of each face.
- 13. Holt Geometry 10-1 Solid Geometry Example 2A: Identifying a Three-Dimensional Figure From a Net Describe the three-dimensional figure that can be made from the given net. The net has six congruent square faces. So the net forms a cube.
- 14. Holt Geometry 10-1 Solid Geometry Example 2B: Identifying a Three-Dimensional Figure From a Net Describe the three-dimensional figure that can be made from the given net. The net has one circular face and one semicircular face. These are the base and sloping face of a cone. So the net forms a cone.
- 15. Holt Geometry 10-1 Solid Geometry Check It Out! Example 2a Describe the three-dimensional figure that can be made from the given net. The net has four congruent triangular faces. So the net forms a triangular pyramid.
- 16. Holt Geometry 10-1 Solid Geometry Check It Out! Example 2b Describe the three-dimensional figure that can be made from the given net. The net has two circular faces and one rectangular face. These are the bases and curved surface of a cylinder. So the net forms a cylinder.
- 17. Holt Geometry 10-1 Solid Geometry A cross section is the intersection of a three- dimensional figure and a plane.
- 18. Holt Geometry 10-1 Solid Geometry Example 3A: Describing Cross Sections of Three- Dimensional Figures Describe the cross section. The cross section is a point.
- 19. Holt Geometry 10-1 Solid Geometry Example 3B: Describing Cross Sections of Three- Dimensional Figures Describe the cross section. The cross section is a pentagon.
- 20. Holt Geometry 10-1 Solid Geometry Check It Out! Example 3a Describe the cross section. The cross section is a hexagon.
- 21. Holt Geometry 10-1 Solid Geometry Check It Out! Example 3b Describe the cross section. The cross section is a triangle.
- 22. Holt Geometry 10-1 Solid Geometry Example 4A: Food Application A piece of cheese is a prism with equilateral triangular bases. How can you slice the cheese to make each shape? an equilateral triangle Cut parallel to the bases.
- 23. Holt Geometry 10-1 Solid Geometry Example 4B: Food Application A piece of cheese is a prism with equilateral triangular bases. How can you slice the cheese to make each shape? a rectangle Cut perpendicular to the bases.
- 24. Holt Geometry 10-1 Solid Geometry Check It Out! Example 4 How can a chef cut a cube-shaped watermelon to make slices with triangular faces? Cut through the midpoints of 3 edges that meet at 1 vertex.
- 25. Holt Geometry 10-1 Solid Geometry Lesson Quiz: Part I 1. Classify the figure. Name the vertices, edges, and bases. triangular prism; vertices: A, B, C, D, E, F; bases: ∆ABC and ∆DEF edges:
- 26. Holt Geometry 10-1 Solid Geometry 2. Describe the three-dimensional figure that can be made from this net. square pyramid Lesson Quiz: Part II
- 27. Holt Geometry 10-1 Solid Geometry 3. Describe the cross section. a rectangle Lesson Quiz: Part III