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Chapter 1 Vocabulary Definitions Undefined terms- point, line, plane; 3 in Geometry Collinear points- points that lie in the same line Coplanar points- points that lie in the same plane Line- extends without end in two directions; one dimensional Segment- part of a line that consists of two endpoints and all points between the endpoints Ray- part of a line that consists of a point (initial point) and all points on the line that extend in one direction Endpoints- the beginning and ending points of a segment or the beginning point of a ray. Opposite rays- two rays that have the same initial point and its between a point on each ray Intersection- two or more geometric figures intersect if they have one or more points in common Postulates or axioms- rules that are accepted without proof Coordinates- the real number that corresponds to a point Distance- the absolute value of the difference between the coordinates of two points Length- AB with no bar Between- when (3) points lie on a line you can say (1) of them is between the other two Angle- two different rays that have the same endpoint Sides- the rays that form an angle. Vertex- the common endpoint of two rays that form an angle. Congruent angles- angles that have the same measure Acute angle- an angle greater than 0 degrees but less than 90 degrees Right angle- a 90 degree angle Obtuse angle- an angle that is greater than 90 degrees but less than 180 degrees Straight angle- a 180 degree angle Adjacent angles- share a common vertex, common side and have no common interior points Midpoint- the point that divides a segment into two congruent parts Segment bisector- can be a ray, line or plane Angle bisector- a ray that divides an angle into 2 adjacent angles that are congruent Vertical angles- two angles whose sides form two pairs of opposite rays Linear pair- two adjacent angles whose non-common sides are opposite rays Complementary angles- two angles whose sum is 90 degrees Supplementary angles- two angles whose sum is 180 degrees Polygon – a closed figure that is formed by three or more segments (sides) that intersect only at there endpoints. Convex – a polygon in which no line containing a side of the polygon contains a point in the interior of the polygon. Concave – not convex n-gon – a polygon with n sides. Equilateral – a polygon with all sides congruent. Equiangular – a polygon with all angles congruent. Regular – a polygon that is equilateral and equiangular.