Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download There are two basic postulates for working with angles. The
Document related concepts
Rotation formalisms in three dimensions wikipedia , lookup
History of geometry wikipedia , lookup
Integer triangle wikipedia , lookup
Multilateration wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Rational trigonometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Perceived visual angle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Transcript
Geometry PAP Name_________________________ Section 2.8 (Angle Postulates and Theorems) Period______Date_______________ There are two basic postulates for working with angles. The Protractor Postulate assigns numbers to angle measures, and the Angle Addition Postulate relates parts of an angle to the whole angle. Protractor Postulate: Angle Addition Postulate: The Angle Addition Postulate can be used with other angle relationships to provide additional theorems relating to angles. Linear Pair Theorem: If two angles form a linear pair, then they are supplementary angles. Complements Theorem: If the noncommon sides of two adjacent angles form a right angle, then the angles are complementary angles. over→ Vertical Angles Theorem: If two angles are vertical angles, then they are congruent. The properties of algebra that applied to the congruence of segments and the equality of their measures is also true for the congruence of angles and the equality of their measures. Properties of Angle Congruence:
