PPT-Congruent Triangles Geometry

Chapter 4 This Slideshow was developed to accompany the textbook Larson Geometry By Larson R Boswell L Kanold T D amp Stiff L 2011 Holt McDougal Some examples and diagrams are taken from the textbook. (Use the . distance. formula!). QU 4. 2. + 4. 2. = d. 2. . 16 + 4 = d. 2. . 20 = d. 2. . d = .  . AD 8. 2. + 4. 2. = d. 2. . 64 + 16 = d. 2. . 80 = d. 2. . d = .  . NO, they aren’t congruent!. 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 . 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). . 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 .  . Lesson Aim: . How do we prove and apply theorems about . angles. ?.  . Lesson Objectives:. SWBAT . To prove and apply theorems about angle.. NYS Content Strand.  . G.PS.4. Construct various types of reasoning, arguments, justifications and methods of proof for problems.. 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. . 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 . 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. Which term best defines the type of reasoning used below?. “Abdul broke out in hives the last four times that he ate chocolate candy. Abdul concludes that he will break out in hives if he eats chocolate.”. 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.