WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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6. a) e.g., 6. b) e.g., 6. c) e.g., P 60° C07-F92-AW12.ai 120° Q 90° C07-F93-AW12.ai 6. Is each property true or false Draw a diagram on plain paper to show your answer. a) If some interior angles of a polygon are equal, some exterior angles are equal. True. e.g., When you add the interior angle and exterior angle at a vertex, the sum is always 1808. If two interior angles are equal, then the corresponding exterior angles are equal. b) If a polygon has equal angles, it also has parallel sides. False. e.g., An isosceles triangle has equal angles but no parallel sides. c) Increasing the number of sides in a regular polygon decreases the measure of the interior angles. 7. Ryan is a landscaper in Brandon. He is going to sod a lawn in the shape of quadrilateral PQRS at the left. a) What is the area that Ryan will cover with sod 50 ft False. e.g., As the number of sides increases, the angle measure also increases. e.g., Area nQRS 5 1 (50 ft)(50 ft) 2 2.ai 15 ft S 50 ft R C07-F95-AW12.ai C07-F94-AW12.ai C07-F96-AW12.ai 8. e.g., 5 1250 sq ft Area nPQS 5 1 (50 ft)(15 ft) 2 5 375 sq ft 1250 sq ft 1 375 sq ft 5 1625 sq ft Ryan will cover an area of 1625 sq ft with sod. W12.ai -AW12.ai ai i C07-F98-AW12.ai b) What property of polygons did you use to solve the problem in Part a) e.g., If you draw a diagonal in a quadrilateral, you get two triangles. 8. Kylie designs and sews quilts. Describe a property of polygons that she might use in a quilt. Include a diagram with your description. e.g., When you join the midpoints of the sides of a regular polygon, you get a smaller similar polygon. 2.ai 182 Apprenticeship and Workplace 12 NEL 26 Apprenticeship and Workplace 12 NEL C07-F100-AW12.ai
Chapter 1. Make a triangle by joining three cities on the map. a) What are the side lengths of your triangle, in millimetres e.g., 16 mm, 20 mm, and 34 mm b) What are the angle measures of your triangle e.g., 1308, 308, and 208 c) What are two names for the type of triangle you made e.g., obtuse triangle and scalene triangle d) What is one property that your triangle shares with all triangles e.g., The sum of the interior angles is 1808. Whitehorse Victoria Yellowknife Fort McMurray Edmonton Regina 0 500 1000 km Winnipeg Baker Lake Churchill e) What is one property that your triangle does not share with some triangles e.g., It does not have equal sides or equal angles. Toronto N Iqaluit Fredericton Québec City Ottawa St. John’s Charlottetown Halifax Moncton 2. Draw a rectangle by joining Yellowknife, Baker Lake, Churchill, and Fort McMurray. a) What are the side lengths, in millimetres 18 mm, AW12SB 18 mm, 11 mm, and 11 mm 0176519637 b) What are the angle measures 908 FN C07-F101-AW12SB c) What are two names for the quadrilateral you made CO CrowleArt Group rectangle Technical and parallelogram d) What is Pass one property 2nd that pass this quadrilateral shares with another Approved type of quadrilateral Use diagrams. Not Approved e.g., It has four right angles, like a square. OR When you draw a diagonal in a rectangle, you always get two congruent triangles. A rhombus has the same property. 2. d) e.g., NEL NEL Chapter 7 Polygons 183 Chapter 7 Polygons C07-F102-AW12.ai 27
Page 1 and 2: WORKBOOK SAMPLER Chapter 7: Polygon
Page 3 and 4: Nelson Mathematics for Apprenticesh
Page 7 and 8: Polygons 7 Zahra is a beekeeper nea
Page 9 and 10: 5. Which triangles in Question 3 ma
Page 11 and 12: C. Is nABM congruent to nCBM How do
Page 13 and 14: 4. Use the angle measures to calcul
Page 15 and 16: Example 1 Elena is a pastry chef in
Page 17 and 18: 5. Jay makes picture frames. The in
Page 19 and 20: Mid-chapter 1. Ty says that if you
Page 21 and 22: C. Test these regular polygons. Doe
Page 23 and 24: AW12SB 4. Draw all the diagonals in
Page 25 and 26: Solution A. Use a compass to constr
Page 27: chapter 1. Circle the polygons. 2.

WORKBOOK SAMPLER Chapter 7: Polygons - Nelson Education

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