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Aim #0: What are basic facts of geometry? Do Now: Course Guidelines CC Geometry H notation diagram 1. Undefined terms A A or B p 2. Defined terms a) half plane ____________________________________________________ b) collinear points ________________________________________________ B A C D c) coplanar points ________________________________________________ B A C d) ray __________________________________________ __________________________________________ B Name it: ______ A e) opposite rays _________________________________________________ A C Name two opposite rays: _____ and _____ B f) line segment _________________________________________________ _________________________________________________ A B Name the segment: _____ or _____ g) angle _______________________________________________________ C A B Name the angle: ________ ________ ________ D C A B Name the 3 angles: ______ ______ ______ h) angle bisector A B D C Name the angle bisector: ____ 3. Two or More Angles a) Adjacent angles ___________________________________ ________________________________________________ 1 2 • The sum of the measures of adjacent angles around a point is ____ . 0 • The sum of the measures of adjacent angles on one side of a line is ___. 0 1 2 4 3 1 2 3 b) Linear pair ______________________________________ ______________________________________ 1 2 c) Vertical angles ________________________________________ 4 1 3 2 Name the vertical angles: ____ and ____ ____ and ____ • Vertical angles are _____ in measure. m≮__ = m≮__ m≮__ = m≮__ d) Complementary angles_________________________________________ e) Supplementary angles__________________________________________ • Two angles that form a linear pair are ____________________. Exercises: 1. Must complementary or supplementary angles be adjacent? Explain. 2. Are vertical angles adjacent? Explain. 3. Find the measures of each labeled angle. Give a reason for your solution. a c b 740 4. Find the measure of ≮d. State reasons based on the facts in #3 above that explain your answer. d 1150