# Pre-Algebra Chapter 9 Spatial Thinking

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1 Pre-Algebra Chapter 9 Spatial Thinking SOME NUMBERED QUESTIONS HAVE BEEN DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLE-CHOICE QUESTIONS, AND THEREFORE YOU SHOULD NOT USE ONE FOR THE REVIEW PACKETS. MULTIPLE CHOICE 1. Which figure shows one point? 2. Which names describe the line? A. B. C. D. 3. The floors in an apartment building belong to different. A. rays B. segments C. planes D. points 4. Use the diagram. and. A. will intersect C. are parallel B. have point C in common D. will never meet 5. Find the measure of!aeb for m!bec = 127. A. 127 B. 254 C. 106 D. 53

2 6. Find the measure of!aed for m!bec = 96. A. 84 B. 168 C. 192 D Name two angles adjacent to. A. and C. and B. and D. and In the diagram a b. Use the diagram to answer the question. (Diagram not to scale.) 8. Name the corresponding angle to 5. A. 2 B. 4 C. 8 D Name the alternate interior angle to 7. A. 1 B. 2 C. 6 D If = 21, what is? A. 21 B C. 159 D If and, what is the measure of? A. 20 B. 60 C. 40 D. 120

3 12. In the figure,. Find the measure of. A. 40 B. 110 C. 50 D Classify the triangle by its sides and angles. not drawn to scale A. equilateral, acute C. equilateral, right B. scalene, right D. isosceles, acute 14. Classify the triangle with sides of length 6 inches, 8 inches, and 3 inches. A. equilateral B. isosceles C. straight D. scalene 15. Classify the triangle with angles measuring 113, 47, and 20. A. right B. straight C. obtuse D. acute Name all the quadrilaterals that have the given property. 16. two pairs of parallel sides and all angles congruent A. trapezoid C. rhombus, square B. rectangle, square D. rhombus 17. four 90 angles A. rectangle, square C. rhombus, square B. parallelogram D. rhombus

4 18. four congruent sides and four congruent angles A. rectangle, square C. rhombus, square B. rhombus D. square 19. David designs floor tiles. His latest design is shaped as a regular pentagon. Write a formula for the perimeter of the tile in terms of the length of a side. Evaluate the formula for the side length of 3 inches. A. P = 5s; 15 inches C. P = 5 + s; 9 inches B. P = 5 + s; 8 inches D. P = 5s; 18 inches 20. Four points are placed on a circle. How many segments will it take to connect each point to every other point? A. 3 segments B. 4 segments C. 6 segments D. 8 segments 21. The school band was scheduled to march in the annual parade, but the band s starting point was changed the day before the parade. The band director calls three band members. Each band member calls three other band members. Then these band members each call three members. How many band members, including the band director, are notified of the new starting point? A. 12 members B. 13 members C. 20 members D. 40 members 22. Draw a rectangle that is 4 centimeters by 8 centimeters. Connect two opposite vertices to form two triangles of the same size and shape within the rectangle. Classify the triangles by sides and angles. A. scalene, right C. isosceles, right B. scalene, acute D. isosceles, acute In the figures,. 23. Name the congruent angles.

5 24. Name the congruent sides. 25. If CD = 26 mm, what is XY? A. 28 mm B. 25 mm C. 4 mm D. 26 mm 26. In the floor tile pattern, the figure is a square and the two triangles are congruent. What is the length of? A. 5 in. B. 20 in. C. 10 in. D. 7.1 in. Write a congruence statement for the pair of triangles. 27. A. by ASA C. by SAS B. by SAS D. by ASA 28. A. by SAS C. by SSS B. by SSS D. by SAS

6 29.The diagram shows the dimensions of a triangular garden at the park. If another triangular garden spot is congruent to this triangle, what is the perimeter of the other garden? A. 84 feet B. 51 feet C. 88 feet D. 129 feet Find the circumference of the circle. Use! " A cm B. 38 cm C. 7 cm D. 3.5 cm A. 3 m B m C. 6 m D m Find the circumference of the circle with the given radius or diameter. Use! " radius = 30 cm A cm B cm C. 2,826 cm D. 11,304 cm 33. diameter = 10 cm A cm B cm C. 314 cm D cm 34. Kelsey s dog Spot has an exercise area behind the house. A stake in the ground has a 15-foot rope tied to it. The other end of the rope is fastened to Spot s collar. If Spot travels in a circular path around the stake, what is the largest circumference allowed by the rope s length? Round your answer to the nearest foot. A. 94 feet B. 177 feet C. 47 feet D. 24 feet

7 Students on a field trip at an amusement park were asked their grade in school. The table shows the results of the survey. Grade Number of Students 4th 45 5th 25 6th 60 7th 50 8th 60 9th What percent of the students surveyed were in 9th grade? Round your answer to the nearest percent, if necessary. A. 45% B. 9% C. 8% D. 16% 36. Suppose you want to show the data in a circle graph. Find the measure of the central angle for 5th grade. Round your answer to the nearest degree, if necessary. A. 9 B. 32 C. 16 D People in the mall were surveyed about their favorite type of movie. The table shows the results of the survey. Make a circle graph of the data. Type of Movie Percent Comedy 40% Drama 25% Action 20% Science fiction 15%

8 38. Find the measure of the central angle that you would draw to represent 67% in a circle graph. Round your answer to the nearest degree. A. 241 B. 24,120 C. 254 D. 229 Graph the image of for the translation unit to the right

9 40. 6 units down unit right and 5 units up

10 42. Use arrow notation to describe the translation of point P( 5, 4) to point P#( 8, 7). 43. Write a rule to describe the translation of to. 44. Jim and Kim are designing a geometric mural on a wall of the school. They placed a coordinate plane on the wall. Rectangle is a translation of rectangle ABCD. Use the table of translations to find the coordinates of point B. Rectangle ABCD Rectangle A( 5, 3) ( 8, 1) B(?,?) ( 11, 5) C( 4, 1) ( 7, 3) D( 7, 3) ( 10, 1) A. ( 9, 8) B. ( 14, 3) C. ( 13, 2) D. ( 8, 7)

11 45. Write a description of the rule. A. translation 2 units to the right and 7 units up B. translation 2 units to the right and 7 units down C. translation 2 units to the left and 7 units up D. translation 2 units to the left and 7 units down 46. How many lines of symmetry does the figure have? A. 0 B. 1 C. 2 D Ships at sea can send messages to one another using a code of flags. Diagrams of some of the flags that the United States Navy uses are shown. How many flags have four lines of symmetry? A. 3 flags B. 4 flags C. 5 flags D. 6 flags 48. Graph with vertices R(0, 4), S( 5, 1), and T(3, 1) and its image after a reflection over y = 2.

12 49. Graph with vertices R(1, 7), S( 6, 3), and T(4, 4) and its image after a reflection over the x-axis.

13 50. Graph with vertices R(3, 7), S( 5, 2), and T(3, 5) and its image after a reflection over x = Graph with vertices R(6, 6), S(3, 6), and T(0, 3) and its image after a reflection over the y-axis.

14 52. Graph and its image after a rotation of 90 counterclockwise about the origin.

15 53. Graph and its image after a rotation of 180 about the origin.

16 54. Find the coordinates of the image of a triangle with vertices A(0, 5), B( 9, 0), and C( 6, 2) under a rotation of 90 clockwise about the origin. A. (0, 5), (9, 0), (6, 2) C. (0, 5), (9, 0), ( 6, 2) B. (5, 0), (9, 0), ( 2, 6) D. ( 5, 0), (0, 9), (2, 6) 55. What are the coordinates of the point ( 10, 3) after a 180 clockwise rotation about the origin? A. ( 3, 10) B. ( 10, 3) C. (10, 3) D. (10, 3) 56. Square PQRS is rotated 90 clockwise about the origin. Find the coordinates of the image of point R. A. ( 4, 4) B. (4, 4) C. (4, 0) D. ( 4, 4)

17 57. State whether the figure has rotational symmetry. If so, what is the angle of rotation? Round your answer to the nearest tenth of a degree, if necessary. A. yes; 45 B. yes; 11.3 C. yes; 22.5 D. no 58. How many lines of symmetry does the figure have? A. 7 lines of symmetry C. 28 lines of symmetry B. 14 lines of symmetry D. infinitely many lines of symmetry

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