Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Rotation formalisms in three dimensions wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Line (geometry) wikipedia , lookup
Integer triangle wikipedia , lookup
History of trigonometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Perceived visual angle wikipedia , lookup
Compass-and-straightedge construction wikipedia , lookup
Multilateration wikipedia , lookup
Trigonometric functions wikipedia , lookup
1-5 Exploring Pair Angles Types of Angle Pairs Definition Example _______________ angles are two coplanar angles with a common side, a common vertex, and no common interior points. _______________ angles are two angles whose sides are opposite rays. _______________ angles are two angles whose measures sum to 90. _______________ angles are two angles whose measures sum to 180. Identifying Pair Angles Problem 1 Is the statement true? a) BFD and CFD are adjacent angles. b) AFD and EFD are vertical angles. c) AFE and BFC are complementary. Making Conclusions from a Diagram Problem 2 What can you conclude from the information in the diagram? Linear Pair A _______________ __________ is a pair of adjacent angles whose non common sides are opposite rays. The angles of a linear pair form a straight angle. Linear Pair Postulate (1-9) If two angles form a linear pair, then they are ____________________. Finding the Missing Angle Measures Problem 3 a) What are the measures of KPL and JPL ? b) ADB and BDC form a linear pair. mADB 3x 14 and mBDC 5x 2 . What are mADB and mBDC ? Angle Bisector An ______________ ______________ is a ray that divides an angle into two congruent angles. Using an Angle Bisector to Find Angle Measures Problem 4 a) AC bisects DAB . If mDAC 58, what is mDAB ? b) KM bisects JKL . If mJKL 72, what is mJKM ?