PPT-Isosceles and equilateral triangles

Warm Up 1 Find each angle measure True or False If false explain 2 Every equilateral triangle is isosceles 3 Every isosceles triangle is equilateral 60 60 60 True False an isosceles triangle can have only two congruent sides. 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 Written by: Jack S. . Calcut. Presented by: Ben Woodford. (pay attention: there Will be a test at the end). Definitions. An . angle is . rational . provided it is commensurable with a straight . angle; equivalently. Topic 5: Relationships Within Triangles. 5-6: Indirect Proof. Pearson Texas Geometry ©2016 . Holt Geometry Texas ©2007. . TEKS Focus:. (6) Use the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. Marina Kozyr. Icosahedron. You can add appropriate pictures, videos, music.. Regular polyhedron with 20 faces. All faces . are. equilateral triangles.. Regular means all sides and all angles are congruent. 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 . Geometry Module 3-1 Isosceles Right Triangle Reflections Overview: of squares through isosceles right triangles. Objective: TExES Mathematics Competencies III.012.D. The beginning teacher uses proper th. Grade. TRIANGLES. Triangles. A polygon with three sides. Is the simplest of the polygons. Formed by three straight lines. The interior angles add up to 180 degrees. Exterior angles add up to 360 degrees.. Triangles. Isosceles Triangles. leg. leg. base. Vertex angle. Base angle. Base angle. 2 sides are congruent. 2 theorems. If 2 sides are congruent, then base angles are congruent. If 2 . base angles . Polygon: A closed plane figure with 3 or more sides (line segments) that intersect only at the endpoints.. Vertex: Each endpoint of a side of a polygon.. Convex Polygon: A polygon such that . no line. and. . 4.2/1-10. Lessons 4.1 and 4.2 . Triangle Sum Properties & Properties of Isosceles Triangles. -. Classify triangles and find measures of their angles.. - Discover the properties of Isosceles Triangles.. Geometry. 5.1 Angles of Triangles. Essential Question. How are the angle measures of a triangle related?. 5.1 Angles of Triangles. November 21, 2016. 5.1 Angles of Triangles. November 21, 2016. Goals – . 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.. Geometry. Legs are congruent. Isosceles Triangle. Vertex Angle. Base Angles. Legs. Theorem 4-3 (Isosceles Triangle . Thm. ):. If two sides of a triangle are congruent, then the angles opposite those sides are congruent.. Alan. Edelman. Mathematics . Computer Science & AI Labs. Gilbert . Strang. Mathematics. Computer Science & AI Laboratories. Page . 2. A note passed during a lecture. Can you do. this integral in R.