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2- AND 3-D IMENSIONAL F IGURES. P OLYGONS A polygon is a closed figure formed by a finite number of coplanar segments called sides such that they sides.

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Presentation on theme: "2- AND 3-D IMENSIONAL F IGURES. P OLYGONS A polygon is a closed figure formed by a finite number of coplanar segments called sides such that they sides."— Presentation transcript:

1 2- AND 3-D IMENSIONAL F IGURES

2 P OLYGONS 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 C ONCAVE If any lines contain any point in the interior of the polygon, then it is concave

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

5 R EGULAR P OLYGONS A convex polygon that is both equilateral and equiangular is called a regular polygon

6 P ERIMETER, C IRCUMFERENCE, AND A REA Perimeter – the distance around a figure Circumference – the distance around a circle Area – the amount of space inside a figure

7 P OLYHEDRONS 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 P RISM A polyhedron with two parallel congruent faces (bases) connected by parallelogram faces

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

10 C YLINDER A solid with congruent parallel circular bases connected by a curved surface

11 C ONE A solid with a circular base connected by a curved surface to a single vertex

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

13 R EGULAR P OLYHEDRONS 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 S URFACE A REA AND V OLUME 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 Q UESTIONS 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?


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