Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Pythagorean theorem wikipedia , lookup
Integer triangle wikipedia , lookup
History of trigonometry wikipedia , lookup
Line (geometry) wikipedia , lookup
Rational trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Perceived visual angle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Name_________________________ Unit 1.5 – Exploring Angle Pairs 1) Go to flippedmath.com Click here and select MyGeometry 2) Click on Semester 1 Unit 1 Open the MyGeometry course DoDEA Geometry Standard G.1.1: Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning G.4.1: Demonstrate an understanding of the relationship between geometric representation in a coordinate plane and algebraic models of lines and circles G.6.2: Prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles; Section 1.5 Watch video entitled “Exploring Angle Pairs” READ pages 34-37 of your Geometry Textbook The flippedmath.com video corresponds to the information presented in this section of your textbook. 3) HOMEWORK: Complete packet 1.5 DUE No Later Than Oct 3 You have class time to complete the video, take notes, and start the practice and applications. There is also time for asking questions and clarifying concepts on an individual basis. USE THIS TIME WISELY TO BE SUCCESSFUL!!! Stay on task. REMEMBER: In addition to reading your text (pages 34 - 37) you can open your online textbook and view lesson videos in your student resources E-mail if you have any questions: [email protected] Write your questions here! 1.5 Angle Pairs NOTES: TERM Example Picture Adjacent Angles are two coplanar angles with a common side, a common vertex, and no common Vertical Angles are two angles whose sides are Vertical Angles are Complementary Angles are two angles whose measures have a sum of 90°. Each angle is called the Supplementary Angles are two angles whose measures have a sum of 180°. Each angle is called the Identify Angle Pairs ANGLES and are and are and are and are Adjacent: Vertical: Complementary: Supplementary: Diagrams OK to assume true! Do NOT assume true!!! TERM Example Picture A linear pair is a pair of adjacent angles whose noncommon sides are # 1-7 Linear Pair Postulate If two angles form a linear pair, then they are Find the measure of all angles. Summarize your notes: 1.5 PRACTICE Name the relationship: Complementary, Linear Pair (Supplementary), Vertical, or Adjacent 1. 2. 3. 4. 5. 6. 7. 8. Find the measure of angle b. 9. 10. 11. 12. 13. 15. 16. 14. For 17-26, use the picture to determine if you can make the following conclusions from the information shown. YES or NO 17. 22. 18. 23. 19. 24. 180 20. 21. is a right angle. 25. and and are supplementary. are vertical angles. is the angle bisector of 26. C is the midpoint of . . Find the value of x. 27. 28. 29. 30. 31. 32. 33. SOLVE 8 12 4 13 SOLVE 4 9 3 4 ALGEBRA REVIEW GRAPH 2 2 5 GRAPH 3 2 MULTIPLY (distribute) 3 FACTOR Factor out the greatest common factor (undistribute) 21 33 1.5 APPLICATION 1. Label the angle pairs as complementary, linear (supplementary), vertical, or adjacent. Angle Pair 2. Find the value of x. Name and and and Watch the application walk through video if you need extra help getting started! 3. A beam of light and a mirror can be used to study the behavior of light. Light that strikes the mirror is reflected so that the angle of reflection and the angle of incidence are congruent. In the diagram, has a measure of 41. a. Name the angle of reflection and find its measure. b. Find c. Find d. Find e. What type of angles are and ? 4. Coordinate Geometry a. Draw the line segment with endpoints A (-3, 2) and B (8, 6). b. Draw the line segment with endpoints C (-4, 7) and D (9,-4). c. Label the point of intersection of and as point E. d. Label each pair of angles as: Complementary, Linear (supplementary), Vertical, or Adjacent Angle Pair Name and and and e. Is point E the midpoint of ? E