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Geometry Name 3.G.1 Lesson 2 Polygons eHelp Homework Helper Need help? connectED.mcgraw-hill.comc The front of the bird house shown has the shape of a polygon. Describe and classify the polygon. The polygon has 5 sides and 5 angles. It is a pentagon. Practice Describe each shape. Determine the number of sides and angles. Then classify each shape. 1. 6 sides 2. 3 sides 6 angles 3 angles This is a(n) hexagon . This is a(n) triangle . 3. 7 Identify Structure Classify the polygons that are used to create the figure shown. triangle hexagon quadrilaterals Copyright © McGraw-Hill Education Copyright © McGraw-Hill Education McGraw-Hill Lesson 2 My Homework 843 Problem Solving 4. What is another name for a square, other than polygon? quadrilateral BrainBrain Builders 5. 5 Use Math Tools Draw and label the polygon you would get when you fold the hexagon shown, in half along the dotted line. Explain why the new shape has 4 sides, even though half of 6 is 3. Sample answer: The fourth side is quadrilateral the dotted line. or trapezoid 6 . Jack says that there are no 2-sided polygons. Then Martin draws the figure shown. He says he drew a 2-sided polygon. Who is correct? Explain. Jack is correct; Sample answer: Martin’s figure is not a polygon because the sides are not straight. Vocab Vocabulary Check Choose the correct word to complete each sentence. hexagon polygon quadrilateral 7. A polygon is a closed two-dimensional figure formed of three or more straight sides that do not cross each other. 8. A hexagon is a polygon with 6 sides and 6 angles. 9. A quadrilateral is a polygon with 4 sides and 4 angles. 10. Test Practice Which of the following figures is a hexagon? A B C D Copyright © McGraw-Hill Education Copyright © McGraw-Hill 844Need more practice? Download Extra Practice att connectED.mcgraw-hill.comc.

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And Twelve-Pointed Star Polygon Design of the Tashkent Scrolls
Bridges 2011: Mathematics, Music, Art, Architecture, Culture A Nine- and Twelve-Pointed Star Polygon Design of the Tashkent Scrolls B. Lynn Bodner Mathematics Department Cedar Avenue Monmouth University West Long Branch, New Jersey, 07764, USA E-mail: [email protected] Abstract In this paper we will explore one of the Tashkent Scrolls’ repeat units, that, when replicated using symmetry operations, creates an overall pattern consisting of “nearly regular” nine-pointed, regular twelve-pointed and irregularly-shaped pentagonal star polygons. We seek to determine how the original designer of this pattern may have determined, without mensuration, the proportion and placement of the star polygons comprising the design. We will do this by proposing a plausible Euclidean “point-joining” compass-and-straightedge reconstruction. Introduction The Tashkent Scrolls (so named because they are housed in Tashkent at the Institute of Oriental Studies at the Academy of Sciences) consist of fragments of architectural sketches attributed to an Uzbek master builder or a guild of architects practicing in 16 th century Bukhara [1, p. 7]. The sketch from the Tashkent Scrolls that we will explore shows only a small portion, or the repeat unit , of a nine- and twelve-pointed star polygon design. It is contained within a rectangle and must be reflected across the boundaries of this rectangle to achieve the entire pattern. This drawing, which for the remainder of this paper we will refer to as “T9N12,” is similar to many of the 114 Islamic architectural and ornamental design sketches found in the much larger, older and better preserved Topkapı Scroll, a 96-foot-long architectural scroll housed at the Topkapı Palace Museum Library in Istanbul.
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