WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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T 12.0 ft S 22.0 ft 28.0 ft U 6.7 ft V 9.0 ft W 3. Cameron is a painter in Cambridge Bay. He knows that 1 L of paint covers about 50 sq ft. How many litres of paint will Cameron need to buy for this attic wall a) Separate a polygon into triangles by drawing diagonals. Draw diagonals WU and WT in the diagram of the wall. b) What is the area of each triangle Hint For nWUV, use 9.0 ft as the base. Subtract 22.0 ft from 28.0 ft to get the height. Triangle Dimensions Area nWST Base 5 Height 5 nWTU Base 5 Height 5 nWUV Base 5 Height 5 28.0 ft 12.0 ft 22.0 ft 12.0 ft 9.0 ft 6.0 ft Area 5 1 2 (base)(height) 5 1 (28.0 ft)(12.0 ft) 2 5 168.0 sq ft 1 2 (base)(height) 5 1 (22.0 ft)(12.0 ft) 2 5 132.0 sq ft 1 2 (base)(height) 5 1 (9.0 ft)(6.0 ft) 2 5 27.0 sq ft c) What is the total area of pentagon STUVW 168.0 sq ft 1 132.0 sq ft 1 27.0 sq ft 5 327.0 sq ft The total area is 327.0 sq ft. d) How many litres of paint will Cameron need to buy 327 sq ft 4 50 sq ft/L 5 6.54 L He will need to buy 7 L. 4. Alex makes signs in Moose Jaw. The owner of a pie company wants a slice of pie on a circular sign. He wants each vertex of the triangle to be on the circle. a) Find the midpoint of each side of the triangle at the left. Use a protractor. Draw a perpendicular line through each midpoint. Extend the perpendicular lines so they meet. b) Place a compass where the lines meet. Use this as the centre. Draw the circle for the sign. 5. Triangles are useful for building bridges because they provide support. What are three other places you see triangles in construction or industry e.g., roofs of houses, hydro towers, cranes 180 Apprenticeship and Workplace 12 NEL 24 Apprenticeship and Workplace 12 NEL
chapter 1. Circle the polygons. 2. Name the quadrilaterals in Question 1. square, parallelogram, rectangle, concave quadrilateral, and trapezoid 3. Name the regular polygons in Question 1. square and regular pentagon C07-F86-AW12.ai 4. Sketch a polygon that has each property below. Classify each polygon. a) Each interior angle is 608. equilateral triangle b) There are five equal sides. e.g., regular pentagon 4. a) e.g., 60° 60° 60° 4. b) e.g., AW12 5. Look at the polygons in the photographs at the right. One of the polygons has this property: • You can draw a line through the polygon so that the line is parallel to the base to create a smaller polygon. The original polygon and the smaller polygon are similar. 0176519637 Figure Number e.g., Company Technical Pass Approved Not Approved Which polygon has this property Explain. Include drawings. C07-F86-AW12.ai shared angle MPS 1st pass same angles in both triangles same side length as original rectangle shorter side C07-F87-AW12.ai lengths C07-F89-AW12.ai NEL The triangle has this property. e.g., Drawing a line through the triangle gives a smaller triangle with the same angles. The triangles are similar. When you draw a line through the rectangle, you get smaller rectangles. One side is equal to a side in the original rectangle; the other side is not. The rectangles are not similar. NEL Chapter 7 Polygons 181 Chapter 7 Polygons 25 AW12 AW12 C07-F91-AW12.ai
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WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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