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Chapter 1 Definitions *Collinear Points A set of points which lie on the same straight line. Noncollinear points *Parallel lines A set of 3 or more points that do not all line on the same straight line. *Skew lines 2 non-coplanar lines that do not intersect. *Coplanar Points Points that lie in the same plane. Betweenness B is between A and C if and only if A, B, and C are distince dolliear points and AB + BC = AC. line segment A set of points consisting of 2 points on a line called endpoints, and all of the points between the endpoints. 2 coplanar lines that do not intersect. length(measure) of The distance between endpoints. a line segment Congruent segments Segments with the same measure. Midpoint of a line segment A point on the line segment that divides the segment into 2 congruent segments. Bisector of a line segment A line, segment, plane, or ray that intersects a segment at its midpoint. Sum of two line segments xy + yz = xz if y is between x and z. Half-line A set of points on one side of a point. Ray A point on a line and all points on one side of the point. Opposite rays Two rays that lie on the same line with a common endpoint, but no other points in common. They form a straight line/angle. Angle A figure formed by 2 non-collinear rays that have the same endpoint. Straight angle A figure formed by 2 opposite rays. Acute angle An angle whose measure is greater than 0° and less than 90°. Right angle An angle whose measure is exactly 90°. Obtuse angle An angle whose measure is greater than 90° and less than 180°. Congruent angles Angles that have the same measure. Angle bisector A ray that divides an angle into two congruent adjacent angles. Perpendicular lines Two lines that intersect to form right angles. Distance from a point to a line The lengths of the perpendicular from the point to a line. Sum of two angles The sum of RSQ and QST is RST if Q is in the interior of RST. Polygon A closed figure in a plane made up of line segments that intersect only at their endpoints, and no segments that share an endpoint are collinear. Triangle A polygon with exactly 3 sides. Scalene triangle A triangle with no congruent sides. Isosceles triangle A triangle that has 2 congruent sides. Equilateral triangle A triangle that has 3 congruent sides. Acute triangle A triangle that has 3 acute angles. Right triangle A triangle that has 1 right angle. Obtuse triangle A triangle that has 1 obtuse angle. Equiangular triangle A triangle that has 3 congruent angles.