Quantcast BASIC CONCEPTS OF GEOMETRY

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Geometry BASIC CONCEPTS OF GEOMETRY BASIC CONCEPTS OF GEOMETRY This chapter covers the basic language and terminology of plane geometry. EO 1.1 IDENTIFY a given angle as either: a. Straight b. Acute c. Right d. Obtuse EO 1.2 STATE the definitions of complimentary and supplementary angles. Geometry is one of the oldest branches of mathematics.  Applications of geometric constructions were made centuries before the mathematical principles on which the constructions were based were recorded.  Geometry is a mathematical study of points, lines, planes, closed flat shapes, and solids.   Using any one of these alone, or in combination with others, it is possible to describe, design, and construct every visible object. The purpose of this section is to provide a foundation of geometric principles and constructions on which many practical problems depend for solution. Terms There are a number of terms used in geometry. 1. plane is a flat surface. 2. Space  is the set of all points. 3. Surface  is the boundary of a solid. 4. Solid  is a three-dimensional geometric figure. 5. Plane  geometry  is  the  geometry  of  planar  figures  (two  dimensions).   Examples are:   angles, circles, triangles, and parallelograms. 6. Solid  geometry  is  the  geometry  of  three-dimensional  figures.    Examples  are: cubes, cylinders, and spheres. Lines line is the path formed by a moving point.   A length of a straight line is the shortest distance between two nonadjacent points and is made up of collinear points.  A line segment is a portion of a line.   A  ray  is an infinite set of collinear points extending from one end point to infinity. A set of points is noncollinear if the points are not contained in a line. Rev. 0 Page 1 MA-03



 


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