An introduction to 3D Figures

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Presentation transcript:

An introduction to 3D Figures Polyhedrons An introduction to 3D Figures

What is a polyhedron? 3 Dimensional figure Formed by polygons Takes up space

Parts of a polyhedron Face: Edge Vertex The flat polygonal surfaces “sides” Edge Where the faces meet Line segments Vertex Point of intersection of three or more edges Where line segments meet

Prisms Has two bases Faces Right Prisms Oblique Prisms Polygons Congruent Parallel Faces Connect the bases Height is the altitude (perpendicular distance between the bases) Right Prisms Faces are perpendicular to the bases Height=altitude= perpendicular distance Oblique Prisms Faces are NOT perpendicular

Pyramids Only one base Base determines type of pyramid Has faces that meet at a common vertexes Faces are always triangles

Practice Identify the figure. Name the bases. Name the lateral faces. Name the edges. Name an altitude.

Practice Identify the figure. Name the bases. Name the lateral faces. Name the edges. Name an altitude.

Practice Identify the figure. Name the bases. Name the lateral faces. Name the edges. Name an altitude.

Curved Surface Solids An Introduction to Cylinders, Cones, and Spheres

Cylinder Define Parts Bases Congruent Parallel Circles If line connecting the bases is perpendicular to the bases, then it is a right cylinder, if not, its oblique. Axis (Altitude) Radius

Cone Define Parts Has one circular base Lateral surface meets at a vertex called an apex Right Cone: when line from apex to base is perpendicular to the base Oblique Cone: Not perpendicular. Height is still the altitude. Apex Radius Altitude Base

Sphere Define: Parts A set of all points from a given point in space. How is that different from a circle? Center Radius Hemisphere Great Circle

Cylinder or not?

Cylinder or not?

Cylinder or not?