PPT-Congruent Triangles Review

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. 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. 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). . 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 . 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.. 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”.  . 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. 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. 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." . 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..