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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
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
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.
Holt Geometry
10-1 Solid Geometry
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.
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:
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:
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
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.
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.
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.
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.
Holt Geometry
10-1 Solid Geometry
A cross section is the intersection of a three-
dimensional figure and a plane.
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.
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.
Holt Geometry
10-1 Solid Geometry
Check It Out! Example 3a
Describe the cross section.
The cross section is a hexagon.
Holt Geometry
10-1 Solid Geometry
Check It Out! Example 3b
Describe the cross section.
The cross section is a triangle.
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:
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
Holt Geometry
10-1 Solid Geometry
3. Describe the cross section.
a rectangle
Lesson Quiz: Part III

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KMAO.ppt

  • 1. 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
  • 2. 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
  • 3. 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.
  • 5. 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.
  • 6. 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:
  • 7. 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:
  • 8. 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
  • 9. 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.
  • 10. 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.
  • 11. 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.
  • 12. 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.
  • 13. Holt Geometry 10-1 Solid Geometry A cross section is the intersection of a three- dimensional figure and a plane.
  • 14. 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.
  • 15. 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.
  • 16. Holt Geometry 10-1 Solid Geometry Check It Out! Example 3a Describe the cross section. The cross section is a hexagon.
  • 17. Holt Geometry 10-1 Solid Geometry Check It Out! Example 3b Describe the cross section. The cross section is a triangle.
  • 18. 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:
  • 19. 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
  • 20. Holt Geometry 10-1 Solid Geometry 3. Describe the cross section. a rectangle Lesson Quiz: Part III