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Chapter 1 Vocabulary Section 1.1-1.3 Undefined terms – words that do not have a formal definition, but there is an agreement about what they mean. Point - Has no actual size, used to represent an object or location in space Line - Has no thickness or width, used to represent a continuous set of linear points that extend indefinitely in both directions Plane - Has no thickness, width, or depth, used to represent a flat surface that extends indefinitely in all directions. Collinear - Set of points, that all lie on the same line (Hint: Two points are always collinear. Three points must be checked to determine if they are collinear.) Non-collinear - Set of points, that do not all lie on the same line Coplanar - Set of points, or lines, that lie in the same plane (Hint: Three points are always coplanar. Four points must be checked to determine if they are coplanar.) Non-coplanar – Set of points, or lines, that do not lie in the same plane Defined terms – terms that can be described using known words such as point or line Line segment – portion of a line with two end points Endpoints – points that show a start or stopping point for a segment Ray - portion of a line with one end point Opposite rays – rays with a common endpoint that are going in opposite directions. Intersections – where two or more geometric figures intersect if they have one or more points in common Postulate – a rule that is accepted without proof Axiom – a rule that is accepted without proof Coordinate – the real number that corresponds to a point Distance - A measurement of how far through space Between – when three points line on a line, you can say that on point is between the other two. Congruent - equal measures Midpoint – a point that divides, or bisects, a segment into two congruent segments Segment Bisector – The line that divides something into two equal parts Section 1.4 – 1.6 Angle – formed by Two rays that meet at a point and extend indefinitely Sides – the rays of an angle Vertex – the point at which to rays meet Measure – the number that represents a degree of an angle Right angle - angles measure exactly 90 degrees. Perpendicular lines form right angles. Acute angle - angles measure more than 0 degrees but less than 90 degrees. Obtuse angle - angles measure greater than 90 degrees but less than 180 degrees. Straight angle - angle (line) has a measure of 180 degrees. Congruent angles – two angles that have the same measure Angle bisector – a ray that divides an angle into two angles that are congruent Adjacent angles - Coplanar angles that have a common vertex and one common side, but no common interior points Vertical angles - Two non-adjacent angles formed by two intersecting lines Linear pair - Two adjacent angles whose non-common sides are two rays going in opposite direction Complementary angles - Sum of the measures of the two angles is 90 degrees. Supplementary angles - Sum of the measures of the two angles is 180 degrees. Polygon – a closed plan figure with three or more line segments called sides and each side intersects exactly two sides, one at each endpoint, so that no two sides with a common endpoint are collinear. Convex Polygon – if not line that contains a side of the polygon contains a point in the interior of the polygon Concave Polygon – a polygon that has sides containing points in the interior of the polygon. n-gon – a polygon with more than 12 sides, 13-gon, 50-gon Equilateral Polygon – all sides are the same Equiangular Polygon – all angles are the same Regular – All sides and angles are the same Parallel – Two coplanar lines that do not intersect Skew - Two non-coplanar lines that do not intersect Length - How far from end to end Parallel lines - coplanar lines that do not intersect Perpendicular lines – lines that intersect to form a right angle