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Angles and Angle Bisectors Agenda HW Check (Solving Equations Practice) Guided Notes on Angles and Angle Bisector CONSTRUCTION: Angle Bisector Think. Ink. Pair. Share. EXIT TICKET Homework • Page 30 #16-23, 27, 28 • Page 38, #10-12 Objectives To identify and use the angle addition postulate. To identify the bisector of an angle. To use a compass and straightedge to bisect angles. Key Questions •What is an angle? •How do you name an angle? •What does it mean to be congruent? Naming Angles • What is an angle? • An angle is formed by two rays with the same endpoint. The rays are the sides of the angle. The endpoint is the vertex of the angle. • How do you name an angle? 1 Angle Addition Postulate The “m” stands for measure of Using the Angle Addition Postulate Example 1: Using the Angle Addition Postulate Example 2 --This is a special example, because the two adjacent angles together create a straight angle. Using the Angle Addition Postulate Example 3: R S Given: mRSV = x + 5 mVST = 3x - 9 V mRST = 68 T Find x. Set up an equation using the Angle Addition Postulate. Angle Bisector • An angle bisector is a ray that divides an angle into two congruent angles. Its endpoint is at the angle vertex. Angle Bisector Example 4: Constructing the Angle Bisector Congruence What does it mean to be congruent? If two figures have the same size and shape, then they are congruent. Angles with the same measure are congruent angles. Think.Ink.Pair.Share • You will have 25 minutes to complete the following practice worksheet. Each group will be responsible for presenting a problem to the rest of the class.