PPT-4-5 Proving Triangles Congruent (ASA , AAS)

Ms Andrejko Vocabulary Included side the side located between two consecutive interior angles of a polygon RealWorld PostulatesTheoremsCorollaries P 43 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. 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. 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. Geometry for Teachers. Von Christopher G. Chua, LPT, MST. Instructor, Geometry for Teachers. Chapter Objectives. For this chapter in the course on Statistical Methods, graduate students are expected to develop the following learning competencies:. 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 . 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 . Triangles in Art. Triangles can be used to draw many different body parts such as the nose. Many different cultures use triangles in there art a lot. The natives also used triangles in their cave paintings, mainly for bodies.. 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”. Side-Angle-Side (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. 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. 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). x. .. 1. 2.. 3. 4.. February 6, 2017. Geometry . 8.2 Proving Triangle Similarity by . AA. 1. 8.2 Warmup. Find the indicated measure in . . JKLM. .. 1.. . ML . . . 2. .. MJ . 3. .. JN . 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..