PPT-Side-Angle-Side Congruence

by basic rigid motions A geometric realization of a proof in H Wus Teaching Geometry According to the Common Core Standards Given two triangles ABC and A 0 B 0 C 0 Assume two pairs of equal corresponding sides with the angle between them equal. If am 1 then the congruence ax mod phas exactly one solution modulo Constructive Solve the linear system sa tm 1 Then sba tbm b So sba mod gives the solution sb If and are solutions then au mod and au mod au au mod mod since a Congruent Triangles. Dr J Frost (jfrost@tiffin.kingston.sch.uk. ). www.drfrostmaths.com. . Last modified: . 31. st. August 2015. Associated Resources: GCSEQuestions-Congruence.doc. GCSE Revision Pack Refs: 169, 170. Congruence. Pg. 107. Learn. to use properties of congruent figures to solve problems.. Vocabulary. correspondence. A . correspondence. is a way of matching up two sets of objects. . If two polygons are congruent, all of their corresponding sides and angles are congruent. . Alexander Clark. Presentation by Peter . Černo. About. Introduction. Representation classes. . should be defined in such a way that they are . learnable. .. 1. Canonical deterministic finite automata. Δ. s are . . : . SSS, SAS, HL, ASA, & AAS. SSS. Side-Side-Side . . Postulate. If 3 sides of one . Δ. are . . to 3 sides of another . Δ. , then the . Δ. s are . . .. More on the SSS Postulate. SSS & SAS. Objectives. State postulates of congruence of triangles correctly. . Apply postulates of congruence of triangles correctly.. Distinguish between SSS and SAS.. Correctly interpret and utilize . Definition of Congruent Figures. Two geometric figures are . congruent. if they have exactly the same size and shape.. In two congruent figures, . each. part . of one figure . has a matching, congruent part in the other figure. The matching pieces are called . Chapter 4. Objective. List corresponding parts.. Prove triangles congruent (ASA, SAS, AAS, SSS, HL). Prove corresponding parts congruent (CPCTC). Examine overlapping triangles.. Key Vocabulary - Review. 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.. o. Find the ratio in both fraction and decimal. Cos A. Sin A. Tan B. 5. B. C. 13. o. 77. o. 8.60. 7. A. hyp. opp. adj. 5/8.60 .58. 7/8.60 .81. 5/7 .71. Classify each angle as an angle of elevation or angle of depression.. Terminal side – end side of angle. Standard position – An angle whose initial side is on the positive x-axis. Positive angles. An angle in standard position that rotates counterclockwise. Negative angles. As latitude increases, average sun angle at solar noon . decreases. . . As latitude increases, average sun angle at solar noon . increases. .. Averaged over a full year, sun angle at solar noon is the . .. . OR. . . a. 2. + b. 2. = c. 2. c. a. b. leg. leg. hypotenuse. Pythagorean Triples. A set of nonzero whole numbers a, b, and c that satisfy the equation a. 2. + b. 2. = c. 2. Here are some common ones to remember:. Nikolaj Bj. ø. rner. Microsoft Research. Lecture 2. Overview of the lectures. Day. Topics. Lab. 1. Overview of SMT and applications. . SAT solving,. Z3. Encoding combinatorial problems with Z3. 2. Congruence closure.