PPT-Using Congruent Triangles

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. 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. 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?. Objectives: To use detours in proofs and to apply the midpoint formula.. Procedure for Detour Proofs. . Determine which triangles must be congruent to reach the required conclusion. . Attempt to prove that these triangles are congruent. If you don’t have enough information to prove them congruent, take a DETOUR (follow steps 3 – 5). . Math 5. Learning Objectives for Unit. Learning Objectives for Unit. Assessment. All objectives will be rated from 0 – 7. 0 – 1. No data to assess or demonstrates minimal knowledge of learning objective, no mathematical practices used . NPO = 50. CED = 55. DE = 11. PO = 33. UV = 36. CED = 37. Perimeter = 40. DE = 18. LM = 22. Review of Right Triangles. Triangle . Congruences. ASA (Angle-Side-Angle) . Postulate. If two angles and the included side in one triangle . SECTION . 5.02. After completing this lesson, you will be able to say: . I . can. use composition and decomposition to determine the area of quadrilaterals. .. I . can. solve problems involving area of quadrilaterals using composition and decomposition.. 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. Tom Sallee. University of California, Davis. BE SURE TO ASK QUESTIONS . This talk is for you—not me.. Most basic geometric question . What does it mean to say that two geometric figures or objects are “the same”. 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. 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 . 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. 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). 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." . Use counterexamples to prove that other side and angle combinations cannot be used to prove triangle congruence.. 4.3 Analyzing Triangle Congruence. Warm-Up:. Which pair of triangles could use the ASA to prove congruency?.