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Transcript

Basics of Geometry Angles Rays are important because they help us define something very important in geometry…Angles! An angle consists of two different rays that have the same initial point. The rays are sides of the angles. The initial point is called the vertex. Notation: We denote an angle with vertex B sides A C three points and symbol. The middle point is always the vertex. We can also name the angle with just the vertex point. This angle can be denoted as: BAC , CAB, or A Classifying Angles Basics of Geometry Angles are classified as acute, right, obtuse, and straight, according to their measures. Angles have measures greater than 0° and less or equal to 180°. A A A Acute angle Right angle Obtuse angle Straight angle 0°< m A < 90° m A = 90° 90°< m A < 180° m A = 180° A Interior & Exterior of an Angle Basics of Geometry Basics of Geometry Quick Quiz !!!! Use the diagram below to answer the following questions. S a. Name the type of angle. Acute b. Name the vertex. R c. Name the sides of the angle. RT and RS d. Name the angle three different ways. SRT , TRS , or R R T Congruent Angles are angles that have the same measure. Either notation can be used: Geometry Leeson: Undefined Terms, Lines, 5 Basics of Geometry An angle bisector is a ray whose endpoint is the vertex of the angle, and that divides that angle into two congruent angles. In the figure below, OC is the bisector of AOB and angle AOC is congruent to angle COB.