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. Angles that form angles Angles that form A A complete revolution complete revolution add up to add up to 360 360 Exam Exam ple ple ABC forms a ABC forms a complete complete revolution with revolution with reflex reflex ABC ABC 360 360 35 325 35 What is p?. A quad is a square. What is the conclusion?. It has 4 right angles. What is the converse?. If a quadrilateral has 4 right angles, then it is a square.. What is the inverse?. If a quad is not a square, then it does not have 4 right angles. Draw one straight line crossing another straight line. Measure all 4 angles.. C. A B. D. Angle A = Angle B Angle C = Angle D. 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. Terra Alta/East 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. Exterior Angles and Triangles. An . exterior angle. is formed by one side of a triangle and the extension of another side . (i.e. . . 1 ).. The interior angles of the triangle not adjacent to a given exterior angle are called the . 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 Two Angles are Complementary if . and only if they . add up to 90 degrees (a Right Angle).. Definition of Complementary Angles. They don't have to be next to each other, just so long as the total is 90 degrees.. Hubarth. Geometry. 10.7 Measure . of an Inscribed Angle. .. C. A. B. D. Ex 1 Use Inscribed Angles. a.. m. . T.  . mQR. b.. Find the indicated measure in. . P. .. M T = . mRS. =. . 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.. 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. 9.10.15. Do Now. Define the following:. Acute angle. Straight angle. Right angle. Obtuse angle. Ray. Line. Line segment. How do you prove you are right?. Proving You . A. re Right. We write an explanation of our thinking or thought process. 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.  . 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..