PPT-5.7 Using Congruent Triangles

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. beaconlear ningcentercom 426 2004 Congruent Triangles TEACHER 1 Draw a triangle with one side 2 inches long How does your drawing compare with the drawings next to you smaller thinner wider more obtuse FEW should answer Congruent 2 Draw a t 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. Objectives:. To prove two triangles congruent using the SSS and SAS Postulates.. Side-Side-Side (SSS)Postulate. If 3 sides of one triangle are to 3 sides of another triangle, then the triangles are . . 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). . 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:. 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.. 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..  . 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.. . 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. 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. 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?.