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Jose M Bravo Jr. Chapter 11.1 Introduction to Basic Geometry Basic Geometric Concepts Point, Line, Line Segment Definitions A point is an exact location in space. A point has no dimensions. A line is a collection of points along a straight path that extends endlessly in both directions. A B A line segment is a part of a line having two endpoints. A line segment has only one dimension-its length. (Example AB on the figure above.) Ray, Angle, and Plane A ray is a part of a line having only one endpoint. An angle consists of two rays that have a common endpoint called the vertex of the angle. C Vertex B A A plane is a flat surface that extends endlessly in all directions. Definitions A straight angle is 180 Example A A right is an angle That measures 90 B C D F E X An acute angle is less than 90 Y Z An obtuse angle is more than 90 and less than 180 C E D Angles are measured in degrees ( ) Angles are classified according to their measures. Complementary and Supplementary Angles Complementary angles are two angles whose sum is 90. 25 A 65 B Supplementary angles are two angles whose sum is 180 140 40 C D Intersecting lines, Parallel lines, Perpendicular lines Intersecting lines are two lines that meet. B DD A C E Parallel lines are two lines in the same plane that do not intersect. E F G H Perpendicular lines are two lines that intersect to form right angles. R S P T Symbol for right angle Q Vertical Angles Vertical angles are two equal angles formed by two intersecting lines. B 120 D A 60 60 120 C E