Geometry In Design - McGraw-Hill Ryerson

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$Math and Chemistry - McGraw-Hill Ryerson$

Arqum studied graphic design at Fanshawe College and now creates signs for companies selling a product or service. He discusses each project with his customers, including size, materials, budget, and regulations, and designs layouts for billboards and business signs. Arqum uses geometric shapes and scale when he creates his designs on the computer. 6 <strong>Geometry</strong> in Desgin • MHR 3
Prerequisite Skills Geometric Shapes 1. Identify the two-dimensional geometric shapes. a) b) c) d) 2. Identify the three-dimensional geometric shapes. a) b) c) d) Perimeter and Area Figure Perimeter/Circumference Area rectangle P = 2l + 2w A = lw triangle P = a + b + c A = 1_ 2 bh circle C = πd, C = 2πr A = πr 2 4. Find the perimeter and the area of a rectangular sports field that measures 120 m by 100 m. 5. Find the perimeter and the area of a school crest in the shape of an equilateral triangle with a side length of 15 cm. The height of the triangle is approximately 13 cm. 6. Find the perimeter the and area of the base of a circular wading pool with a radius of 12 m. Surface Area and Volume Figure Surface Area Volume 3. Identify the polygons. a) b) l w h SA = 2lw + 2wh + 2lh V = lwh c) d) c h a SA = al + bl + cl + bh V = 1_ 2 blh l b r e) h SA = 2πrh + 2πr 2 V = πr 2 h 4 MHR • Chapter 6
Page 1: 6Geometry in Design Why is knowledg
Page 5 and 6: 6.1 Investigate Geometric Shapes an
Page 7 and 8: Tools computer The Geometer’s Ske
Page 11 and 12: Practise A 1. Which of these regula
Page 13 and 14: Chapter Problem Reasoning and Provi
Page 15 and 16: 6.2 Perspective and Orthographic Dr
Page 19 and 20: Example 1 Modelling a Flight of Sta
Page 21 and 22: Example 3 Isometric Drawings With C
Page 23 and 24: Practise A 1. Which of these repres
Page 25 and 26: Chapter Problem 8. The artist M. C.
Page 27 and 28: 6.3 Create Nets, Plans, and Pattern
Page 29 and 30: Investigate 3 Tools simple item of
Page 31 and 32: Practise A 1. Consider the net show
Page 33 and 34: 9. The owner of a garden centre nee
Page 35 and 36: 4. Reflect Select the line segment
Page 37 and 38: Solution a) The formula for the vol
Page 39 and 40: endpoint of the side as the centre,
Page 41 and 42: 5. Suleiman plans to construct a
Page 43 and 44: Achievement Check 13. A propane sto
Page 45 and 46: a) Select a suitable scale. Draw a
Page 47 and 48: a) Make appropriate calculations, a
Page 49 and 50: Key Concepts • Design problems ar
Page 51 and 52: 9. Farmer Macdonald sketched an iso
Page 53 and 54:
Use Technology Use The Geometer’s
Page 55 and 56:
6 Review 6.1 Investigate Geometric
Page 57 and 58:
6 Practice Test 1. Which rectangle
Page 59 and 60:
Chapters 4 to 6 Review Chapter 4: Q
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Geometry In Design - McGraw-Hill Ryerson

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