PPT-Lines and Angles

Terra AltaEast Preston School Geometry Unit Ray Ray part of a line that has one endpoint and goes on endlessly in the other direction Congruent Equal in size and shape Degrees The unit used to. Sections 3-1. What you’ll learn. How to identify the relationships between two lines or two planes. How to name angles formed by a pair of lines and a transversal. Vocabulary. . Parallel lines. Parallel planes. 8.G.5. Essential Question. ?. What can you conclude about the angles formed by parallel lines that are cut by a transversal?. Common Core Standard. :. 8.G ─Understand . congruence and similarity using physical models, transparencies, or geometry software.. Objective Learn to recognize parallel and perpendicular lines. . Parallel and Perpendicular Lines…. A . plane. is an infinite, flat surface. Lines in a plane that never meet are called . parallel Lines. and a Transversal. Vocabulary. Parallel lines. : Lines in the same plane that have the same slope and never intersect. . Transversal. : A line that intersects two or more parallel lines.. Interior Angles. What: Sum of angles on straight lines. How: Discovering how to measure angles at different points on straight lines. Why: . A. o. B. 10. 20. 30. 40. 50. 60. 70. 80. 90.  . o.  . A. O. B. A. O. B. Protractor: . What do you notice? . Task One: . Look at the protractor. Write down everything that you notice about the protractor. Try and come up with at least . 10 facts. Think about . number patterns . L.E.Q. What special angles are created by two lines cut by a transversal and how are they related?. Remember:. What would you call two lines which do not intersect?. Parallel. A solid arrow placed on two lines of a diagram indicate the lines are parallel.. Students will be able to. Determine whether two lines are parallel. Write flow proofs. Define and apply the converse of the theorems from the previous section. Objectives. You can use certain angle pairs to determine if two lines are parallel. Unit 3: This unit Introduces Transversals, and angles based on transversals, including corresponding angles, Same Side Interior Angles, Alternate Exterior and Alternate Interior Angles, and the unique properties of Perpendicular Transversals. . Geometry. Chapter 3. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Section 3.1 – Lines and Angles. I CAN identify relationships between figures in space.. I CAN identify angles formed by two lines and a transversal.. Key Vocabulary:. Parallel Lines. Skew Lines. Parallel Planes. Pgs. 26, 28, 30. Warmup. (pg. 23) . The measures of 2 Vertical Angles are 90 and (5x 10). Find the value of x.. The measure of an angle is twice the measure of its compliment. . What’s a Transversal? . Common Core Investigation 4: Geometry Topics. 4. 3. 2. 1. 0. In addition to level 3.0 and above and beyond what was taught in class, I may:. Make connection with real-world situations. Make connection with other concepts in math. Angles of Triangles Objectives Find angle measures in triangles. Key Vocabulary Supplementary Angles Complementary Angles Exterior angles Interior angles Additional Vocabulary Theorem - Mathematics. a theoretical proposition, statement, or formula embodying something to be proved from other propositions or formulas. 2. a rule or law, especially one expressed by an equation or formula