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Geometry Opportunity is missed by most people because it is dressed in overalls and looks like work. Thomas Edison Today: •Homework Check •3.2 Check Up •Practice Yesterday Opportunity is missed by most people because it is dressed in overalls and looks like work. Thomas Edison Assignment: • 3.1-3.2 p. 197 #1-14 3.2 3.1 Check Up Identify the vocabulary term for each pair of angles represented in the picture. 1. 3 and 6 2. 1 and 8 3. 2 and 6 4. 1 and 6 5. 3 and 5 You named angle pairs formed by parallel lines and transversals. • Use theorems to determine the relationships between specific pairs of angles. • Use algebra to find angle measurements. Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.9 Prove theorems about lines and angles. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. 3.2 Angles and Parallel Lines Objectives: 1. Properties of parallel lines and transversals 2. Using properties of parallel lines in proofs Vocabulary: parallel, transversal, corresponding, alternate interior, alternate exterior, consecutive interior 3.2 Angles and Parallel Lines If 2 parallel lines are cut by a transversal, then: corresponding angles are congruent. alternate interior angles are congruent. alternate exterior angles are congruent. consecutive interior angles are supplementary. 1 2 4 3 5 6 8 7 3.3 Parallel Lines and Transversals If l1|| l2 , find x. What type of angles do you have? Alternate Exterior x = 53 l1 2x + 4 l2 110 If l1|| l2 , find x and y. x = 105 y = 85 y + 20 x 75 l1 l2 3.3 Parallel Lines and Transversals How many angles in the diagram have a measure of 100o? 100o Given: l1 || l2 l3 || l4 Prove: 1 2 Statements 2 3 1 Reasons 1. Given ALWAYS 4. Transitive Property of Congruency. Geometry Opportunity is missed by most people because it is dressed in overalls and looks like work. Thomas Edison Assignment: • 3.2 p. 183 #5, 8, 25, 49

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