Mathematics 9 C H A P T E R Q U I Z Form P - Chapter 1: "Symmetry and Surface Area" - Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the figure, the dashed line represents a. a horizontal line of symmetry c. an oblique line of symmetry b. a lack of symmetry d. a vertical line of symmetry 2. The design shown is an example of rotation symmetry. What is the order of rotation? a. 1 c. 6 b. 12 d. 8 3. The design has rotation symmetry. What is the angle of rotation of the design? a. 60 c. 15 b. 120 d. 30 1
4. The image shown below is of the flag of Egypt. The flag shows a. a horizontal line of symmetry c. an oblique line of symmetry b. a lack of symmetry d. a vertical line of symmetry 5. The butterfly is a. not symmetrical b. symmetrical around a centre of rotation c. symmetrical, with a horizontal line of symmetry d. symmetrical, with a vertical line of symmetry Page 2 of 11
6. In the figure shown, the order of rotation is a. 1 c. 3 b. 9 d. 6 7. The figure shown is an example of a. a figure with horizontal symmetry c. a figure with rotation symmetry b. a figure with no symmetry d. a figure with vertical symmetry Page 3 of 11
8. The dashed lines drawn on the image represent a. lines of symmetry c. neither a) or b) b. lines of reflection d. both a) and b) 9. What is the angle of rotation of the figure? a. 45 c. 15 b. 60 d. 30 Page 4 of 11
10. In the figure shown, the order of rotation is a. 8 c. 2 b. 10 d. 6 11. Figure 2 results from a. a reflection of Figure 1 about the y-axis c. a reflection of Figure 1 about the x-axis b. a rotation of Figure 1 around the x-axis d. a rotation of Figure 1 around the y-axis Page 5 of 11
12. Each cube in the object has sides measuring 2.5 cm. What is the total surface area of the object? a. 6.25 cm 2 c. 162.5 cm 2 b. 31.25 cm 2 d. 187.5 cm 2 13. The object has been constructed from 12 identical centimetre cubes. What is the surface area of the top of the object? a. 4 cm 2 c. 9 cm 2 b. 8 cm 2 d. 12 cm 2 14. Compare the total surface area of Block A to Block B. Which statement is correct? a. The surface area of Block A is equal to that of Block B b. The surface area of Block A is greater than that of Block B c. The surface area of Block B is greater than that of Block A d. The surface area of Block B cannot be determined Page 6 of 11
15. An ice cube has sides measuring 7 cm and melts at the same rate on all sides. The ice cube melts until it measures 4 cm on all sides. What is the change in surface area at this point? a. 390 cm 2 c. 198 cm 2 b. 65 cm 2 d. 33 cm 2 Matching Match the correct term to each of the following descriptions. A term may be used more than once or not at all. a. horizontal line of symmetry d. mirror line b. line of reflection e. oblique line of symmetry c. line of symmetry f. vertical line of symmetry 16. a slanted line that divides a figure into two identical halves 17. a line running from the top to the bottom of a design, creating two matching parts 18. a line that divides a figure into two parts, each of which is identical 19. a line through an object or design that is sometimes called a line of reflection 20. a line running from side to side of an object such that the halves on each side of the line are identical Match the correct term to each of the following descriptions. A term may be used more than once or not at all. a. angle of rotation d. mirror line b. centre of rotation e. order of rotation c. line of symmetry f. rotation symmetry 21. a figure may have one or more of these, or it may have none at all 22. occurs when a shape or design can be turned about its centre of rotation so that it fits onto its outline more than once in a complete turn 23. the minimum number of degrees or fractions of a turn needed to turn a shape or design onto itself 24. the number of times a shape or design fits onto itself in one turn 25. the point about which the rotation of an object or design turns Page 7 of 11
Match the correct term to each of the following descriptions. A term may be used more than once or not at all. a. area d. face b. composite object e. prism c. cylinder f. surface area 26. an object that is made up of two or more separate objects 27. a three-dimensional object with two parallel and congruent faces for the base 28. the sum of the areas of all the faces of an object 29. the number of square units needed to cover a region 30. a flat surface of a solid object Short Answer 31. For the following figure, draw and label all lines of symmetry. 32. A computer game CD and instruction manual are packaged in a box shaped like a rectangular prism measuring 21 cm by 11 cm by 2.6 cm. What is the total amount of plastic wrap needed to cover the entire box if 52 cm 2 is needed to allow for overlapping and sealing the edges? Page 8 of 11
Problem 33. a) Draw the reflection image if the figure is reflected over the x-axis. b) Is the design now symmetrical? Explain your thinking. 34. The slanted faces of the roof of a house must be covered with tiles. The area of each rectangular tile is 20 cm by 30 cm. How many tiles would be needed to cover the roof? Page 9 of 11
35. The surface area of walls, roofs, doors, and windows all affect the amount of heat loss from a house. Calculate the surface area for the doors, windows, walls, and roof for the house below. Express each answer to the nearest tenth of a square metre. 36. Whitney wants to repaint her bird feeder before she rehangs it in the yard. What is the surface area of the feeder? Express your answer to the nearest tenth of a square centimetre. Page 10 of 11
37. The object is made of 3-cm cubes. What is the surface area of the object if it is sitting on a table? Page 11 of 11