PPT-6 .1 The Polygon angle-sum theorems

Polygon a closed plane figure with at least 3 sides that are segments that only intersect at their endpoints where no adjacent sides are collinear Regular Polygon a polygon that is both equilateral and . By. : . Team Math. tables found on wikepedia under polygons. Resource Page. Polygon names. . Name. Sides. triangle. (or trigon). 3. quadrilateral. (or tetragon). 4. pentagon. 5. hexagon. 6. heptagon. Objectives. State the triangle angle sum theorem and solve for an unknown angle in a triangle. Classify triangles based on measures of angles as well sides. State the triangle exterior angle theorem and solve for an unknown exterior angle of a triangle. Convergence & Divergence Theorems. Convergence & Divergence Theorems. Convergence & Divergence Theorems. Convergence & Divergence Theorems. Intersecting. Perpendicular. Parallel. None of these. Identify the following type of angle: . Straight. Right. Acute. Obtuse. Identify the following type of line:. Ray. Line segment. line. What is straight, is part of a line, and has 2 endpoint?.  .  . Today’s Objectives:. Students will be able to find and use the sum of the measures of the interior angles of a polygon. . Students will be able to find and use the sum of the measures of the exterior angles of a polygon. . Angles and Geometry. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 5. th. January 2014. Copy the diagram, then determine x.. Starter. 11. °. x. °. 22. °. 11. °. 22. °. 136. °. 33. 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 . Computational Geometry (EECS 396/496) – October 2nd, 2017. Art Gallery Problems. Problem. : Given an art gallery, place cameras which put together can see the whole gallery.. The cameras can’t move, but can rotate 360°.. Concept 1. Find the Interior Angles Sum of a Polygon. A. . Find the sum of . the measures . of the interior angles of a convex nonagon.. A nonagon has nine sides. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures.. Learning for Simple Geometrical Concepts. Wang-Zhou Dai. Stephen H. . Muggleton. Zhi-Hua Zhou. Outline. Motivation. Proposed Method. Experiments. Motivation. Great success of statistical learning in computer vision. La gamme de thé MORPHEE vise toute générations recherchant le sommeil paisible tant désiré et non procuré par tout types de médicaments. Essentiellement composé de feuille de morphine, ce thé vous assurera d’un rétablissement digne d’un voyage sur . Exemplification Work out the size of each angle. Diagrams are not drawn accurately. 72.5° 162 ° 206° D E F O °   °   Form and solve an equation and find the value of .   _______   FOE You have two figures that each show a regular . polygon (with . a given . side length) . just touching two circles. . What is the area of the annulus, i.e. the area enclosed by the circles, in terms of . I. . -monotone polygon.  . II. Partitioning a simple polygon into . -monotone pieces.  . III. Triangulating a . -monotone polygon .  . Brute-Force Triangulation . 1. Find a diagonal.. 2. Triangulate the two resulting subpolygons recursively..