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HW-1.3 Practice B (2-10), pg. 27 (46-50) Summer Packet and 1.1-1.3 Quiz WED 9-10-14 www.westex.org HS, Teacher Website 9-8-14 Warm up—Geometry H 1. If a point bisects a segment what is another name for the point? 2. Explain why any two right angles are congruent. 3. List the 4 ways this angle can be named. A B 1 C GOAL: I will be able to: 1. name and classify angles. 2. measure angles and angles that are bisected. 3. construct segments and bisect segments. 4. construct angles and bisect angles. HW-1.3 Practice B (2-10), pg. 27 (46-50) Summer Packet and 1.1-1.3 Quiz WED 9-10-14 www.westex.org HS, Teacher Website Name ______________________ Geometry H 1.3 Measuring Angles GOAL: I will be able to: 1. name and classify angles. 2. measure angles and angles that are bisected. An __________ is formed by two rays, or sides, with a COMMON ENDPOINT called the __________. The set of all points BETWEEN the sides of the angle is the ____________ ___ ___ __________. The set of all points OUTSIDE the angle is the ____________ ___ ___ __________. EXAMPLE 1—Naming Angles Name 3 DIFFERENT angles in the picture to the right. ___________ __________ __________ EXAMPLE 2—Measuring and Classifying Angles Find the measure of each angle. Then classify each as acute, right or obtuse. a. BOA b. DOB c. EOC Date _______ _________________________ are angles that have the same measure. In the diagram, mABC = mDEF so ABC DEF. __________ are used to show that two angles are congruent. EXAMPLE 3—Using the Angle Addition Postulate mDEG = 115°, and mDEF = 48°. Find mFEG. YOU TRY: (DRAW A PICTURE!!!) K is in the interior of LMN, mLMK =52°, and mKMN = 12°. Find mLMN. An __________ ____________ is a ray that divides an angle into two congruent angles. JK bisects LJM; thus LJK KJM. EXAMPLE 4—Finding the Measure of an Angle KM bisects JKL, mJKM = (4x + 6)°, and mMKL = (7x – 12)°. Find mJKM. YOU TRY: (DRAW A PICTURE!!!) JK bisects LJM, mLJK = (-10x + 3)°, and mKJM = (–x + 21)°. Find mLJM. 1.2 and 1.3 Constructions GOAL: I will be able to: 1. construct segments and bisect segments. 2. construct angles and bisect angles. The construction below also finds the midpoint of the segment (the point of intersection of the perpendicular bisector and the original line segment.)