PPT-Lesson 1-4: Angles

1 Lesson 14 Angles Lesson 14 Angles 2 Angle and Points An Angle is a figure formed by two rays with a common endpoint called the vertex vertex ray ray Angles can have points in the interior in the exterior or on the angle. 1. Lesson 1-4. Angles. Lesson 1-4: Angles. 2. Angle and Points. An Angle is a figure formed by two rays with a common endpoint, called the . vertex. .. vertex. ray. ray. Angles can have points in the interior, in the exterior or on the angle.. Mr. Peterson. CC standard 7.g.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to . write and solve simples equations for an unknown angle in a figure. . Section 4.2. Objectives. Find angle measures in triangles.. Key Vocabulary. Corollary. Exterior angles. Interior angles. Theorems. 4.1 Triangle Sum Theorem. Corollary to the Triangle Sum Theorem. 4.2 Exterior Angle Theorem. Angles are ACUTE angles Angles equal to 90 are RIGHT angles Angle are OBTUSE angles Angles equal to 180 Angles more than 180 are REFLEX angles Definitions. Complementary angles – the sum of their measures is 90˚. Each angle is the compliment of the other. A. B. 32˚. 58˚. Definitions. Supplementary angles – the sum of their measures is 180˚. Mr. Peterson. CC standard 7.g.5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to . write and solve simples equations for an unknown angle in a figure. . Thursday, October 17. Math Message. Label unit 3.9 and the date at the top of your Math Response. Complete the following in your Math Notebook:. Using a straightedge, draw a big triangle in your notebook. TeacherTwins©2014. Warm Up. Identify the pairs of angles as complementary or supplementary or neither.. 1). 45. ◦ . and 45. ◦ . 2). 36. ◦. and 54. ◦. 3). 65. ◦. and 115. ◦. 4). 135. Shape and Angles. Assumed knowledge. recall and use properties of angles. angles at a point. angles at a point on a straight line. perpendicular lines. vertically opposite angles. distinguish between scalene, isosceles, equilateral and right-angled triangles.  . Lesson Aim: . How do we prove and apply theorems about . angles. ?.  . Lesson Objectives:. SWBAT . To prove and apply theorems about angle.. NYS Content Strand.  . G.PS.4. Construct various types of reasoning, arguments, justifications and methods of proof for problems.. Depression. 1/14 and 1/15. EQ: . How do we draw . angles of elevation and angles of . depression. ?. Agenda:. Warm Up/Check Homework. Notes . on Angles of Elevation and . Depression. Practice Drawings. Geometry Unit 9. Inscribed Angles in Circles. Content Objective. : Students will be able to . identify inscribed . angles and their intercepted arcs in circles. . Language Objective. : Students will be able to . 1. Warm UP: . If. . m. . 1 = 23 º and m. . 2 = 32 º, find the measures of all other angles.. Answers:. Adjacent, . Vertical, . Supplementary, and Complementary Angles. Adjacent angles are “side by side” and share a common ray.. adjacent angles. complementary angles. supplementary angles. Congruent angles. have the same measure.. Vertical angles. are formed opposite each other when two lines intersect. Vertical angles have the same measure, so they are always congruent..