Measuring Angles Angle Interior Notation Angle Naming Angles: We name an angle _____________________________. Acceptable: .

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Measuring Angles Angle Interior Notation Angle Naming Angles: We name an angle ___________________________________________________. Acceptable: ______________________ Unacceptable: ____________________ Order Matters! _____________________________________________________. C A T Geometry/Trig 2Name: _________________________ Angles – Notes & ExplorationDate: __________________________ The two rays are called the ____________. The shared endpoint is called the __________. Angle: ____________________________________________________________ __________________________________________________________________ Alternate Notation Sometimes, you can name an angle just with the vertex. This angle could be ______. Sometimes using only one letter may not be __________ __________________; it may refer to more than one angle. IF THERE IS ANY DOUBT, USE _____LETTERS! C A T We also may name angles with numbers. Angle Interior: _______________________________ ___________________________________________ T E H Measuring Angles: We measure angles using a ________________. The units for angle measurement is either degrees or radians. In this class we will use degrees. Symbol for degree: ____________ Measure of an angle: ___________

A B C D F G H J K L M N Q PRS T W

Angle Addition Postulate Types of Angles Acute AngleObtuse Angle Right AngleStraight Angle Definition: ______________________ _______________________________ Diagram: Definition: _______________________ ________________________________ Diagram: Definition: ______________________ _______________________________ Diagram: Definition: _______________________ ________________________________ Diagram: Adjacent Angles: ____________________________________________________ __________________________________________________________________ A B C D  ABD and  DBC ______________________________________ ___________________________________________________  ABD and  ABC ______________________________________ ___________________________________________________ Angle Addition Postulate If point B lies _____________________ _________________________________ Angle Addition Postulate – Special Case If  DGF is ______________________ _______________________________ _______________________________ A Q C B DGF m  AQB m  BQC m  AQC m  AQB + m  BQC m  DGH m  HGF m  DGF m  DGH + m  HGF

Congruent Angles & Angle Bisector Vertical Angles Complementary Angles Supplementary Angles Congruent Angles: _______________ ______________________________ m  CAT m  DOG Angle Bisector: _________________ ______________________________ m  GHJ m  GHM m  MHJ Complementary Angles: Two angles whose measures sum to ______. (They may be non-adjacent (_____________) or adjacent (__________________)). Diagrams: Supplementary Angles: Two angles whose measures sum to ______. (They may be non-adjacent (_____________) or adjacent (__________________)). Diagrams: Vertical Angles: Two _____________ ______________________________ ______________________________ Example: ______________________ Diagram: Vertical Angle Theorem: __________ _____________________________ m  ABD m  CBE m  DBC m  EBA