PPT-Area of Triangles

8 units 6 units Area base x height Area width x length Area 8 x 6 or Area 48 square units Area of a Rectangle Area is measured in square units because we measure in two directions. Equilateral Triangles Figure 1 Recall the wellknown theorem of van Schooten Theorem 1 If ABC is an equilateral triangle and is a point on the arc BC of ABC then MA MB MC Proof Use Ptolemy on the cyclic quadrilater A geometric realization of a proof in . H. Wu’s “Teaching Geometry According to the Common Core Standards”. B. A. C. c. a. b. Given a right triangle . . ABC with legs . a. and . b. and hypotenuse . 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. 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.. Theorem 7-3: Similarity in Right Triangles Theorem. The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and to each other.. Using properties of perpendicular bisectors and angle bisectors. Perpendicular bisectors. What do we know about the right triangles formed when we draw an isosceles triangle that has a bisector of its vertex angle?. Objectives:. Find the measures of interior and exterior angles of triangles.. Apply theorems about the interior and exterior angles of triangles.. Supplies: Math Notebook. Textbook. Assignment: p. 228 #15-23(skip 17), 29-32. Talya Eden, . Tel Aviv . University. Amit Levi, . University of Waterloo. Dana . Ron, . Tel Aviv . University. C. . Seshadhri. , . UC Santa Cruz. Counting Triangles. Basic graph-theoretic algorithmic . 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.. Objective. :. To understand and apply properties of isosceles and equilateral triangles.. Supplies. :. Math Notebook. Assignment: 4.8 p. 276: 1-10, 12-16, 22-26. 4.8: Isosceles & Equilateral Triangles. 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. Magic Triangles. There are 3 magic triangles, two of which are on your formula sheet. They let you do some trigonometric equations without calculators. These are a fundamental part of ”exact solutions” . 1. Principle . of . Trilateration. Reduction . of . observation. Principle . and classification . of . Triangulation . System. Triangulation chains. , . Strength of Figures, Station marks and Signals, Satellite station, .