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Geometry Notes Section 1-5 <3 KJMP. What you’ll learn. . . How to identify and use special pairs of angles Adjacent angles Vertical angles Linear pairs of angles Complementary angles Supplementary angles How to identify perpendicular lines Vocabulary Adjacent angles Vertical angles Linear pair of angles Complementary angles Supplementary angles Perpendicular lines Adjacent Angles Examples: ABC and CBD C C A D D A B B Non examples: CAT and CAS C S ABC and BCD D T C No Common Vertex A Shared Interior A B Adjacent Angles Adjacent Angles- 2 angles that lie in the same plane have a common vertex have a common side, But have no common interior points (the angles do not overlap). Vertical Angles Examples: 5 1 4 8 2 7 3 NonExamples: B A D 6 E C Vertical Angle Vertical Angles- 2 nonadjacent angles formed by two intersecting lines. Linear Pair of Angles Line Example: BED and BEC. B C E D T NonExample R C A A Linear Pair of Angles A linear pair of angles adjacent angles non-common sides are opposite rays. Complementary Angles & Supplementary Angles Complementary: Any pair of angles whose measures add up to 90 Supplementary: Any pair of angles whose measures add up to 180 Example problems: The measure of an angle’s supplement is 3 times the measure of the angle. Find the angle and its supplement. Two angles are complementary. One angle is 12 more than the other. Find the angle. Find mT if mT is 20 more than 4 times its supplement. Perpendicular Lines DEFN: Perpendicular lines are lines that intersect to form right angles. Everything you wanted to know about perpendicular lines and more: symbol for perpendicular: diagram symbol: lines form not just one but, 4 right angles lines form (congruent) adjacent angles rays and segments can be too Have you learned. . . How to identify and use special pairs of angles Adjacent angles? Vertical angles ? Linear pairs of angles? Complementary angles? Supplementary angles? How to identify perpendicular lines? Assignment: Worksheet 1.5