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Chapter 3

Chapter 3 . Lines and Angles. Chapter 3: Lines and Angles. Essential Questions: What are the characteristics of parallel and perpendicular lines that can assist me to solve for missing angles? How are the different angles made by interesting lines related to each other? Essential Skills

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Chapter 3

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  1. Chapter 3 Lines and Angles

  2. Chapter 3: Lines and Angles • Essential Questions: • What are the characteristics of parallel and perpendicular lines that can assist me to solve for missing angles? • How are the different angles made by interesting lines related to each other? • Essential Skills • Your Essential Skills for these 3 Sections are: • I can define, draw, and identify the angles formed by parallel lines and a transversal. • I can apply the postulates of parallel lines to determine the degrees of angles. • I can take the degrees of given angles and then determine which lines are parallel.

  3. 3.1: Lines and Angles (MA.912.G.7.2) 3.2: Properties of Parallel Lines (MA.912.G.1.3 and 8.5) 3.3: Proving Lines Parallel (MA.912.G.1.3 and 8.5) Your Essential Skills for these 3 Sections are: • Can you define, draw, and identify the angles formed by parallel lines and a transversal? • Can you apply the postulates of parallel lines to determine the degrees of angles? • Can you take the degrees of given angles and then determine which lines are parallel?

  4. Vocabulary • Parallel lines • Skew Lines • Parallel Planes • Transversal • Alternate Interior • Alternate Exterior • Same Side Interior • Corresponding Angles • Alternate Exterior Angles • Vertical Angles • Linear Pairs • Flow Proof

  5. Classwork • Page 144 # 11-16 • Page 146 #49-52 • Page 155 #29-32 • Page 160 #47-51

  6. 3.4: Parallel and Perpendicular lines (MA.912.G.1.3) 3.5: Parallel Lines and Triangles (MA.912.G.2.32 and 8.5) Your Essential Skills for these 2 Sections are: • Can you justify why lines are parallel or perpendicular? • Can you apply the postulates of parallel and perpendicular lines to algebraic equations • Can you derive the triangle sum and exterior angles theorems from basic geometric facts then apply them to algebraic problems?

  7. Classwork • Page 169 #27-30 • Page 178 #43-50

  8. 3.7: Equations in the Coordinate Plane (MA.912.G.3.3) 3.8: Slopes of Parallel and Perpendicular Lines (MA.912.G.3.3) Your Essential Skills for these 2 Sections are: • Can you justify why lines are parallel or perpendicular? • Write the equation of parallel and perpendicular lines in a variety of formats? • Can you decide and PROVE whether lines are parallel or perpendicular from a picture, equation, points or slopes?

  9. Classwork • Page 196# 64-68 • Page 204# 48-62

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