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Transcript
4.6 Prove Angle Pair Relationships Quiz 4.1-4.6: Jan. 21! Vocabulary • Two angles that share a common vertex and side, but have no common interior points are adjacent angles (next to each other) • Two adjacent angles are a linear pair if their non-common sides are opposite rays. Right Angle Congruence Theorem All right angles are congruent Congruent Supplements Theorem If two angles are supplementary to the same angle (or to congruent angles), then they are congruent Congruent Complements Theorem If two angles are complementary to the same angle (or to congruent angles), then they are congruent Linear Pair Postulate If two angles form a linear pair, then they are supplementary Vertical Angles Congruence Theorem Vertical angles are congruent Example Set #1 • Complete the statement given that m AGF = 90o 1. m CGD = ____ 2. If m BGF = 113o, then m DGE = ____ B A C G F E D Example Set #2 • If m BGD = 90o, and m CGD = 26o, B find 1. m 1 C 2 1 2. m 2 A 3 G D 3. m 3 F E Example Set #3 • Solve for x in the diagram A (2x + 3)o E D B 25o C Homework P. 225 #1-17 ALL