Geometry BASIC CONCEPTS OF GEOMETRYBASIC CONCEPTS OF GEOMETRYThis chapter covers the basic language and terminology of plane geometry.EO 1.1 IDENTIFY a given angle as either:a. Straightb. Acutec. Rightd. ObtuseEO 1.2 STATE the definitions of complimentary andsupplementary angles.Geometry is one of the oldest branches of mathematics. Applications of geometric constructionswere made centuries before the mathematical principles on which the constructions were basedwere recorded. Geometry is a mathematical study of points, lines, planes, closed flat shapes, andsolids. 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 constructionson which many practical problems depend for solution.TermsThere are a number of terms used in geometry.1. A 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 geometryis the geometry of planar figures (two dimensions). Examplesare: angles, circles, triangles, and parallelograms.6.Solid geometryis the geometry of three-dimensional figures. Examples are:cubes, cylinders, and spheres.LinesA line is the path formed by a moving point. A length of a straight line is the shortest distancebetween two nonadjacent points and is made up of collinear points. A line segment is a portionof 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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