PPT-4.4 Prove Triangles Congruent by SAS and HL

SideAngleSide SAS Congruence Postulate If two sides and the included angle are congruent to the corresponding sides and angles on another triangle then the triangles are congruent EXAMPLE 1. HOMEWORK: Lesson 4.6/1-9. , . 18. Chapter 4 Test - FRIDAY. Prove it!. CPCTC . . C. orresponding . P. arts of . C. ongruent . T. riangles are . C. ongruent. We . say: . Corresponding Parts of Congruent . 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. Outcome:. I will . prove. triangles, segments, and lines congruent using . detours. .. Detour Proof. A proof that involves proving more than one pair of triangles congruent.. Prove one pair of triangles congruent. 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 . Draw a rhombus like the one at right on your paper.  Mark the side lengths equal.. CONJECTURE: . What else might be special about the sides of a rhombus? Write a conjecture. .. Opposite sides of a rhombus are parallel.. 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 . 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. . Homework. . check. 1 . mark. . each. . for. :. Complete . Neat. Name. and date . on. . it. /3. . pg. 208  1,3,5,7,9, 10-13, 21, 23, 25. a) given. b) . reflexive. . property. of . 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. 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.. 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?.