PPT-1.5 Describe angle pair relationships

angles Complementary angles Two angles with the sum of 90 Supplementary angles Two angles with the sum of 180 Adjacent angles Two angles that share a common vertex and side with no common interior points. Angle Pair Relationships. Adjacent Angles. Vertical Angles. Linear Pair. Complementary Angles. Supplementary Angles. Adjacent angles are “side by side” and share a common ray.. 45. º. 15. º. These are examples of adjacent angles.. Analogies test your ability to:. Recognize the relationship between the words in a word pair. Recognize when two word pairs display parallel relationships . To answer an analogy question you must:. Formulate and recognize the relationship between the words in the given word pair. Quiz (B). Course 3. 1) Classify . the . sketch below using the choices provided.. 80°. 100°. a) complementary. b) supplementary. c) vertical. d) none of the above. 2) Classify . the . sketch below using the choices provided.. Essential Question. How can you describe angle pair relationships and use thee descriptions to find angle measures?. Objectives. Identify complementary and supplementary angles. Identify linear pairs and vertical angles. Polygons. Unit of Study . 10. : Plane Shapes. Global Concept Guide: 2 of 4. Content Development. Students need opportunities to define shapes based on attributes. Example: a triangle is any closed figure made up of three line segments that connect only at vertices.. NPO = 50. CED = 55. DE = 11. PO = 33. UV = 36. CED = 37. Perimeter = 40. DE = 18. LM = 22. Review of Right Triangles. Triangle . Congruences. ASA (Angle-Side-Angle) . Postulate. If two angles and the included side in one triangle . Theorem. 6.13. If a tangent. and a chord intersect at a point on the circle, then the measure of each angle formed is one half the measure of its intercepted arc.. http://demonstrations.wolfram.com/TangentChordAngle/. . Theorems. m. example. Write a proof.. Given. : . Prove. : . . Statements Reason. . 1.. ___________________ _______________________. . 2.. ___________________ _______________________. . 3.. ___________________ _______________________. Objectives:. Find the measures of interior and exterior angles of triangles.. Apply theorems about the interior and exterior angles of triangles.. Supplies: Math Notebook. Textbook. Assignment: p. 228 #15-23(skip 17), 29-32. Course 3. 1) Classify . the . sketch below using the choices provided.. 80°. 100°. a) complementary. b) supplementary. c) vertical. d) none of the above. 2) Classify . the . sketch below using the choices provided.. VN & NM. NR & NM. PR & RQ. <SRM. <TPQ. <4. <NPT. <8. <4. P,T. Q,S. <9 & <3. <9 & <2. Right. Right. Acute. Acute. Obtuse. Obtuse. Answers will vary. 27. Measure angles with a protractor. Identify and use the angle addition postulate. Warm-Up: . Find the indicated value. AC = 20; AB = _____. A. B. C. x-4. 2x 3. Vocabulary:. Degree:. The most common unit of angle measure.. Objective. : To learn to . identify, represent, and draw the translations . of figures in the coordinate plane.. transformation. . – of a geometric figure is a change in its . position. , . shape. This Slideshow was developed to accompany the textbook. Big Ideas Geometry. By Larson and Boswell. 2022 K12 (National Geographic/Cengage). Some examples and diagrams are taken from the textbook.. Slides created by .