1. 2- and 3-Dimensional Figures

2. Polygons
A polygon is a closed figure formed by a finite number of coplanar segments called sides such that they sides that have a common endpoint are noncollinear and each side intersects exactly two other sides, but only at their endpoints (vertex)

3. Concave
If any lines contain any point in the interior of the polygon, then it is concave

4. Convex
If none of the lines contain any point in the interior of the polygon, then it is convex

5. Regular Polygons
A convex polygon that is both equilateral and equiangular is called a regular polygon

6. Perimeter, Circumference, and Area
Perimeter – the distance around a figure
Circumference – the distance around a circle
Area – the amount of space inside a figure

7. Polyhedrons
A solid with all flat surfaces that enclose a single region of space
Each flat surface (face) is a polygon
The segments where the faces intersect are called edges
The point where three or more edges intersect is called a vertex

8. Prism
A polyhedron with two parallel congruent faces (bases) connected by parallelogram faces

9. Pyramid
A polyhedron that has a polygonal base and three or more triangular faces that meet at a common vertex

10. Cylinder
A solid with congruent parallel circular bases connected by a curved surface

11. Cone
A solid with a circular base connected by a curved surface to a single vertex

12. Sphere
A set of points in space that are the same distance from a given point. It has no faces, edges, or vertices

13. Regular Polyhedrons
A polyhedron where all of the faces are regular congruent polygons and all of the edges are congruent.
There are exactly five types of regular polyhedrons.

14. Surface Area and Volume
Surface Area – a two-dimensional measurement of the surface of a solid figure; it is the sum of the areas of each face
Volume – the measure of the amount of space enclosed by a solid figure

15. Questions
What are some common applications of perimeter, area, surface area, and volume?
Are there any careers that employ these measures?
How do you use these measures?