9-1 Introduction to Three-Dimensional Figures Warm Up Course 2 Warm Up Problem of the Day Lesson Presentation

9-1 Introduction to Three-Dimensional Figures Warm Up Course 2 9-1 Introduction to Three-Dimensional Figures Warm Up Identify each two-dimensional figure described. 1. four sides that are all congruent 2. six sides 3. four sides with parallel opposite sides 4. four right angles and four congruent sides rhombus hexagon parallelogram square

9-1 Introduction to Three-Dimensional Figures Problem of the Day Course 2 9-1 Introduction to Three-Dimensional 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? 2

9-1 Learn to identify various three-dimensional figures. Course 2 9-1 Introduction to Three-Dimensional Figures Learn to identify various three-dimensional figures.

Insert Lesson Title Here Course 2 9-1 Introduction to Three-Dimensional Figures Insert Lesson Title Here Vocabulary pyramid lateral surface cylinder cone sphere hemisphere face edge vertex base polyhedron prism

9-1 Introduction to Three-Dimensional Figures Course 2 9-1 Introduction to Three-Dimensional 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, and a vertex is where three or more edges meet. The face that is used to classify a solid is a base. The surfaces of a three-dimensional figure determine the type of solid it is. A polyhedron is a three-dimensional figure whose surfaces, or faces, are all polygons. Prisms and pyramids are two types of polyhedrons.

9-1 Introduction to Three-Dimensional Figures Prisms Course 2 9-1 Introduction to Three-Dimensional Figures Prisms A prism is a polyhedron that has two parallel congruent bases. The bases can be any polygon. The other faces are parallelograms. A cube is a special prism whose faces are all congruent squares.

9-1 Introduction to Three-Dimensional Figures Pyramids Course 2 9-1 Introduction to Three-Dimensional Figures Pyramids A pyramid is a polyhedron that has one base. The base can any polygon. The other faces are triangles. A regular tetrahedron is a special pyramid whose faces are all congruent equilateral triangles.

9-1 Introduction to Three-Dimensional Figures Course 2 9-1 Introduction to Three-Dimensional Figures Prisms and polygons are named by the shapes of their bases.

Additional Example 1A: Naming Prisms and Pyramids Course 2 9-1 Introduction to Three-Dimensional Figures Additional Example 1A: Naming Prisms and Pyramids Identify the base or bases of the solid. Then name the solid. A. There are two bases, and they are both octagons. The other faces are parallelograms. The figure is an octagonal prism.

Additional Example 1B: Naming Prisms and Pyramids Course 2 9-1 Introduction to Three-Dimensional Figures Additional Example 1B: Naming Prisms and Pyramids Identify the base or bases of the solid. Then name the solid. B. There is one base, and it is a pentagon. The other faces are triangles. The figure is a pentagonal pyramid.

9-1 Introduction to Three-Dimensional Figures Try This: Example 1A Course 2 9-1 Introduction to Three-Dimensional Figures Try This: Example 1A Identify the base or bases of the solid. Then name the solid. A. There are two bases and they are both triangles. The other faces are parallelograms. The figure is a triangular prism.

9-1 Introduction to Three-Dimensional Figures Try This: Example 1B Course 2 9-1 Introduction to Three-Dimensional Figures Try This: Example 1B Identify the base or bases of the solid. Then name the solid. B. All faces are congruent squares. The figure is a cube.

9-1 Introduction to Three-Dimensional Figures Course 2 9-1 Introduction to Three-Dimensional Figures Other three-dimensional figures include cylinders, cones, and spheres. These figures are different from polyhedrons because they each have a curved surface and their bases are not polygons. The curved surface of a cylinder or a cone is called a lateral surface.

9-1 Introduction to Three-Dimensional Figures 2 bases Course 2 9-1 Introduction to Three-Dimensional Figures 2 bases A cylinder has two parallel, congruent circular bases connected by a lateral surface. Lateral surface A cone has one circular base and a lateral surface. The lateral surface of a cone comes to a point called its vertex. 1 base Lateral surface Vertex

9-1 Introduction to Three-Dimensional Figures Course 2 9-1 Introduction to Three-Dimensional Figures A sphere has only one surface, which is curved, and has no base. All of the points on the surface are the same distance from the center of the sphere. A plane that intersects a sphere through its center divides the sphere into two halves, or hemispheres.

Additional Example 2A: Identifying Combinations of Solids Course 2 9-1 Introduction to Three-Dimensional Figures Additional Example 2A: Identifying Combinations of Solids Tell what solids make up each figure. A. The figure is made up of a rectangular pyramid and a rectangular prism.

Additional Example 2B: Identifying Combinations of Solids Course 2 9-1 Introduction to Three-Dimensional Figures Additional Example 2B: Identifying Combinations of Solids Tell what solids make up each figure. B. The figure is made up of a hemisphere and a cone.

9-1 Introduction to Three-Dimensional Figures Try This: Example 2A Course 2 9-1 Introduction to Three-Dimensional Figures Try This: Example 2A Tell what solids make up each figure. A. The figure is made up of a cone and a cylinder.

Insert Lesson Title Here Course 2 9-1 Introduction to Three-Dimensional Figures Insert Lesson Title Here Try This: Example 2B Tell what solids make up each figure. B. The figure is made up of a cylinder and a hemisphere.

Insert Lesson Title Here Course 2 9-1 Introduction to Three-Dimensional Figures Insert Lesson Title Here Lesson Quiz Identify the type of each prism or pyramid. 1. 2. square pyramid pentagonal prism Identify the figure described. 3. two congruent circular faces connected by a curved surface cylinder 4. one circular face and a curved lateral surface that comes to a point called a vertex cone