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Published bySibyl Hubbard Modified over 8 years ago
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2- AND 3-D IMENSIONAL F IGURES
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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)
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C ONCAVE If any lines contain any point in the interior of the polygon, then it is concave
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C ONVEX If none of the lines contain any point in the interior of the polygon, then it is convex
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R EGULAR P OLYGONS A convex polygon that is both equilateral and equiangular is called a regular polygon
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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
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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
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P RISM A polyhedron with two parallel congruent faces (bases) connected by parallelogram faces
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P YRAMID A polyhedron that has a polygonal base and three or more triangular faces that meet at a common vertex
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C YLINDER A solid with congruent parallel circular bases connected by a curved surface
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C ONE A solid with a circular base connected by a curved surface to a single vertex
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S PHERE A set of points in space that are the same distance from a given point. It has no faces, edges, or vertices
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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.
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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
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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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