PPT-7.4 Regular Polygons

Learner Objective Students will recognize regular polygons and will use the formula for finding 
the measure of the exterior angle of an equiangular polygon to solve problems Learner Objective Students will recognize regular polygons and will use the formula for finding 
the measure of the exterior angle of an equiangular polygon to solve problems. 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. . Tiling. CSE 788. Prof. Roger Crawfis. Seamless Tiling. Seamless Tiling. Where is the seam?. http://homepages.rpi.edu/~mcdanm2/RPI_MediaStudioImaging/MSI_Lecture4_Graffiti.html. Rotations and Edges. Combinatorics. Designs and configurations For applications of design theory. By: Valerie Toothman. What are Tessellations. A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. . Becca Stockford Lehman. Tessellations. Tessellate: to form or arrange small squares or blocks in a checkered or mosaic pattern . Comes from the Latin word tessella which refers to the small square pieces used in mosaics . I can identify regular and not regular polygons and find the angle measurements of regular polygons. Review. The lengths of three sides of a triangle are given. Classify the triangle.. 1.. 12, 12, 12. Polygons. SECTION . 5.03. After completing this lesson, you will be able to say: . I . can. use composition and decomposition to determine the area of polygons. .. I . can. solve problems involving area of polygons using composition and decomposition.. Geometric Reasoning. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 12. th. April 2014. Objectives: . Be able to reason about sides and angles, and find interior/exterior angles of polygons.. Objective. : When presented with . various . polygon . picture cards, the students will orally say what kind of polygon it is based on its sides and they will write whether or not it is a regular or non-regular polygon with 90% accuracy. . All . faces, all edges, all corners, are the . same.. They are . composed . of . regular 2D polygons:. There were infinitely many 2D n-. gons. !. How many of these regular 3D solids are there?. Making a Corner for a Platonic . Properties & Attributes. A . few polygons. Triangle. Quadrilateral (much more on these later). Pentagon. Hexagon. Heptagon. Octagon. Regular. . polygons . are . both . equilateral. and . equiangular. 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. 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. What shapes can tile the plane?. In other words, shape can you put next to itself and NOT have any gaps?. Circles?. Octagons?. Hexagons?. Triangles?. Regular Tessellations. When the shape used to tile the plane are the same regular polygons the tessellation is called regular. These are the only regular tessellations.. Investigating Regular Polyhedra– Level 1. What You’ll Learn…. What the Platonic solids are, what makes them unique, and how they relate to one another.. The math behind these special shapes and why there is a limited number of regular polyhedra. .