Do Now! Take out IMN, Textbook, and a pencil. Take out your Similar - PDF document

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook August 24, 2017 Do Now! • Take out IMN, Textbook, and a pencil. • Take out your Similar Figures WS. If it is completed, Make sure your name is on it and place it in a stack in the middle of your group! Learning Target: I can identify angle relationships formed by two intersecting lines. Standards: MGSE8G5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. 1

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook August 24, 2017 Linear and Angle Relationships Work Time: IMN p. 16 • For each term: • EDpuzzle, "Lesson 4.1 & 4.2 Line and describe/define and give Angle Relationships" an example. • Linear and Angle Relationships Vocabulary Foldable Adjacent Complementary • Similar Figure Practice WS DUE Angles Angles TODAY! Vertical Intersecting • Practice Problems #1-7 (WS) Angles Lines • Transformations test corrections need to be completed by Friday, Supplementary Perpendicular Angles August 25. Lines Parallel Linear Pairs Lines of Angles C Linear and Angle Relationships IMN p. 16 • Using a piece of notebook paper to create an eight tab foldable. • Add the following titles to each of the eight tabs. • For each term: describe/define and give an example. C Adjacent Complementary Angles Angles Vertical Intersecting Angles Lines Supplementary Perpendicular Angles Lines Parallel Linear Pairs Lines of Angles 2

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook August 24, 2017 Inside of Foldable Two angles Angles that whose share a side measures next to each have a sum of other 90 degrees Angles that Lines in a share a plane that vertex, they intersect, or are across cross each from each other other Two angles Lines that whose intersect at a measures right angle have a sum of symbol: 180 degrees Lines that lie in the same plane and do not Two adjacent intersect no matter how far angles that they extend. form a straight They do not line share any points. symbol: Solving for Unknown Angle Measures 1. The angles shown are a linear pair of angles. Solve for x. 4x x 2. The angles shown are supplementary. Solve for x. x 22 3. If two angles are both congruent and supplementary, what are their measures? Explain your reasoning. 3

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook August 24, 2017 4. If the supplement of an angle is half the measure of the angle, what is the measure of each angle? 5. If the supplement of an angle is 20 degrees more than the measure of the angle, what is the measure of each angle? 3 1 2 4 6. Sara understands supplementary angles and linear pairs. She said she understands why m 1 = m 3 + m 4 in the figure shown. Sara's lab partner, Sean sees no connection between m 1 and m 3 + m 4 because those angles aren't next to each other. Explain to Sean what Sara discovered. 7. If two intersecting lines form congruent adjacent angles, what can you conclude about the lines? 4

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook August 24, 2017 Talk the Talk Lesson 4.2 1. Two intersecting lines determine how many angles? 2. Two intersecting lines determine how many pairs of vertical angles? 3. Two intersecting lines determine how many pairs of supplementary angles? 4. Two intersecting lines determine how many linear pairs of angles? 5. Two intersecting lines determine how many pairs of adjacent angles? 6. Suppose two lines intersect. If you are given the measure of one angle, can you determine the measures of the remaining angles without using a protractor? Explain your reasoning. 7. If angle 1 is the supplement of angle 2, angle 3 is the supplement of angle 4, and angle 1 is congruent to angle 3, what can you conclude about the measures of angle 2 and angle 4? Write this conclusion in a general form. 5

Week 4 08.21.17 Day 2 Linear and Angle Relationship.notebook August 24, 2017 8. Suppose angle 1 is the supplement of angle 2, and angle 2 is the supplement of angle 3. a. What can you conclude about the measure of angle 1 and the measure of angle 3? b. Write this conclusion in a general form. 9. When two lines intersect, four different angles are formed as shown. Homework Watch video "Lesson 4.3 Angle • Relationships Formed by a Transversal", take notes and complete assessment. Complete Practice Problems from class • 6