^ath 9 - Chapter 1 and 4 Review
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1 Name: Class: Date: ^ath 9 - Chapter 1 and 4 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What does the dashed line in the diagram represent? a. a line of reflection b. a line of symmetry c. both a) and b) d. neither a) or b) 2. The design shown is an example of rotation symmetry. What is the order of rotation? a. 1 b. 6 c. 8 d. 12 1
2 Name: 3. What type of symmetry is shown by the figure? a. horizontal line symmetry only b. oblique line symmetry only c. many types of line symmetry d. vertical line symmetry only 4. The figure shown is an example of V - a. a figure with horizontal symmetry b. a figure with no symmetry c. a figure with rotation symmetry d. a figure with vertical symmetry 2
3 /ame: 5. What is the order of rotation of the figure? Ac X vts. sl < a. 1 c. 4 b. 2 d The symmetry shown by the flag of the Bahamas is a. vertical line symmetry c. oblique line symmetry b. rotation symmetry d. horizontal line symmetry 7. What type of symmetry is shown in the image below? a. horizontal line symmetry only c. oblique line symmetry only b. multiple lines of symmetry d. vertical line symmetry only 3
4 Name: 8. Figure 2 results from b. a reflection of Figure 1 about the x-axis d. a rotation of Figure 1 around the x-axis 9. What type of symmetry is shown by the playing card? a. horizontal line symmetry c. rotation symmetry b. oblique line symmetry d. vertical line symmetry 4
5 ^ame: 10. Compare Figure B to Figure A. What best describes Figure B? a. Figure B is a scale factor of Figure A c. Figure B is a proportion of Figure A b. Figure B is a reduction of Figure A d. Figure B is an enlargement of Figure A 11. Determine the scale factor used to draw Figure A from Figure B. a b c d
6 Name: 12. The scale factor used to draw the letter on the right from the letter on the left is a. equal to 0 b. equal to 1 c. greater than 1 d. less than The letter on the right is drawn from the letter on the left using a scale factor. The scale factor is a c b d A calculator is 12 cm long. The length of the calculator on a poster advertisement is 32 cm. What is the scale used to create the poster? a. 3:6 c. 6:8 b. 3:8 d. 6:3 15. A digital picture on a computer screen is 8.2 mm wide. When the picture is printed, the image enlarged by a scale of 1:3.5. What is the width of the printed picture? a mm c nun b. 3.5 mm d mm 6
7 <fame: Use this star figure to answer the following question(s). 16. Which star figure below best represents the original star with a scale factor of 60%? Each square in all grids represents one square unit. 7
8 Name: a. b. d. - J ^ -j--' fsskl Prrglte xfe^st: X^'Tvf''" 4^: 4-- ItrrZft 17. The scale diagram below shows a cross-section of apipe. The scale used to create the diagram is 1:3. What is the inside diameter of the actual pipe? a. 0.9 cm b. 1.8 cm c. 2.7 cm d. 3.6 cm 8
9 .-fame: 18. In the two triangles shown, Z A and Z D are a. complimentary angles b. corresponding angles c. exterior angles d. inscribed angles 19. The two triangles shown are a. complimentary triangles b. equilateral triangles c. equal triangles d. similar triangles
10 Name: ED: A 20. What scale must be applied to make AJKL from ARST? a. 1:5 c. 2:1 b. 1:4 d. 4:1 10
11 .Name: 21. Triangle B is drawn from Triangle A using a scale of 2:1. If the hypotenuse of Triangle A is 35 mm, what is the length of the hypotenuse of Triangle B? a mm c. 70 mm b. 35 mm d. 90 mm 22. Kendra wants to draw a scale diagram of the field shown in the sketch. She plans to use a scale of 3 mm: 1 m. How long should she draw line AB if she wants to represent a distance of 84 m? A a. 3 mm c. 252 mm b. 28 mm d. 300 mm 11
12 Name: H): A 23. How many similar triangles would be formed if you j oined all the opposite vertices so the lines pass through the centre of the figure? C * * w a. 4 b. 6 c. 12 d The two triangles shown are a. complimentary and equal triangles b. equilateral triangles c. equal triang es d. similar and equilateral triangles 12
13 Name: 25. Triangles A and B are similar isosceles triangles, related by a scale of 1:3. The hypotenuse of Triangle B is approximately 38.1 cm. What is the approximate hypotenuse of Triangle A? a cm c cm b. 38.1cm d. 4.2 cm 26. How many similar triangles could be formed if you joined all the opposite vertices so the lines pass through the centre of the figure? a. 4 b. 6 c. 8 d
14 Name: Short Answer 27. For the following figure, draw and label all lines of symmetry. 28. In a drafting class, students must create reductions of actual objects for technical diagrams. Barry wants to use a scale factor of 0.25 to draw a machine part. If the actual object has a width of 100 cm, what should the width of Barry's drawing be? Problem 29. The ratio of length to width of the flag of Canada is 2:1. Assume you have a flag that is 12 cm wide. a) What are the dimensions of an image of the flag that has a scale factor of 3.5? b) What are the dimensions of an image of die flag that has a scale factor of 0.75? 30. Jamie needs to create a scale diagram of his property for a project. He makes measurements as shown below. If Jamie's diagram uses a scale of 1 cm: 1.3 m, what would the distance x be on the diagram? Give your answer to the nearest tenth of a centimetre. 1 ^ 14
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