PPT-Angles of Triangles

Section 42 Objectives Find angle measures in triangles Key Vocabulary Corollary Exterior angles Interior angles Theorems 41 Triangle Sum Theorem Corollary to the Triangle Sum Theorem 42 Exterior Angle Theorem. A geometric realization of a proof in . H. Wu’s “Teaching Geometry According to the Common Core Standards”. B. A. C. c. a. b. Given a right triangle . . ABC with legs . a. and . b. and hypotenuse . Draw one straight line crossing another straight line. Measure all 4 angles.. C. A B. D. Angle A = Angle B Angle C = Angle D. 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 a. What appears to be true about the lengths of the three tower braces that form a triangle?. b. It also appears that the three angles of the triangles formed by the braces are congruent. If this is true, what is the measure of each of the angles?. Geometry Unit 4. Angles of A Triangle. Content Objective. : Students will be able to identify the properties and classifications of specific triangles, using them to solve problems.. Language Objective. TOPIC/Objective: . To use angles to tell whether triangles are similar. . Essential Question: . How can you use angles to tell if triangles are similar. . Example:. . The triangles have two pairs of congruent angles.. 4.2. SSS Postulate (Just call it SSS). If . three sides of one triangle . are congruent to. three sides of another triangle, . then the triangles are congruent.. SAS Postulate (Just call it SAS). If . Ms. Andrejko. Vocabulary. Included side-. the side located between two consecutive interior angles of a polygon. Real-World. Postulates/Theorems/Corollaries. P 4.3:. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. What is a polygon?. Closed figure. At least 3 sides. Line segments are sides. Sides meet is call a vertex. More Polygon Terms. Diagonal – connects two non consecutive vertices. Concave – at least one diagonal outside polygon, dented in. They are shapes with all straight sides. You’ve got triangles and squares. You’ve got . rhombuses . and hexagons. Just know that circles are not there.. I want to talk parallelograms!. They’ve got 2 pairs of parallel sides. The vertical distance from rotary table to Point B is called a true vertical depth. The inclination angle ‘I’ is the angle between vertical and the wellbore. . The direction angle ‘A’ is specified as the azimuth between the geographic north and the projection of a wellbore on a horizontal plane.. Lewis Carroll/Charles Dodgson. Some . fun facts:. .. as a mathematician, Dodgson was, in the words of . . Peter Heath: "An inveterate publisher of trifles [who] was forever putting out pamphlets, papers, broadsheets, and books on mathematical topics [that] earned him no reputation beyond that of a crotchety, if sometimes amusing, controversialist, a compiler of puzzles and curiosities, and a busy yet ineffective reformer on elementary points of computation and instructional method. In the higher reaches of the subject he made no mark at all, and has left none since." . Chapter 4. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Magic Triangles. There are 3 magic triangles, two of which are on your formula sheet. They let you do some trigonometric equations without calculators. These are a fundamental part of ”exact solutions” .