PPT-Angles of Triangles

Angles of Triangles Objectives Find angle measures in triangles Key Vocabulary Supplementary Angles Complementary Angles Exterior angles Interior angles Additional Vocabulary Theorem Mathematics a theoretical proposition statement or formula embodying something to be proved from other propositions or formulas 2 a rule or law especially one expressed by an equation or formula. 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 Talya Eden, . Tel Aviv . University. Amit Levi, . University of Waterloo. Dana . Ron, . Tel Aviv . University. C. . Seshadhri. , . UC Santa Cruz. Counting Triangles. Basic graph-theoretic algorithmic . 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. 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. A. . = . B. . C. . D. . = .  . Warm-Up. ~Write one sentence explaining what answer you chose.. ~Write one sentence explaining what answers you were able to eliminate.. Polygons and Triangles. The word polygon means many (poly) angles (gon). This includes triangles, squares, rectangles, trapezoids, parallelograms, . Helpful websites. http://www.regentsprep.org/Regents/mathb/1c/preprooftriangles.htm. http://www.mathwarehouse.com/geometry/congruent_triangles/. http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Congruent-Triangles.topicArticleId-18851,articleId-18788.html. 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.. Using Congruent Triangles. Congruent triangles have congruent corresponding parts. So, if you can prove the two triangles are congruent then you know their corresponding parts must be congruent as well.. Honors Geometry. CCHS. Which rule proves the triangles congruent?. . ASA. What rule proves the triangles congruent?. . SAS. What rule proves the triangles congruent?. Not enough information. (SSA labeling). 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..