Name: Class: Date: Chapter 6 Review Name the corresponding angles and the corresponding sides. 7. Given JKL RST, find KL.. GHIJ UVWX Order the ratios from least to greatest. 2. ABC DEF 8. 5 : 6, 3 8, 2 to 6, 4, 2 : 40 5 9. 9 0, 5 to 2, 3 : 6,, 20 :7 4 3 3. Given ABC PQR, find the ratio of the lengths of corresponding sides of ABC to PQR. A map has a scale of centimeter : 8 kilometers. Use the given actual distance to find the distance on the map. 0. 76 km. 4 km Write the scale without units. Given FGHI WXYZ, find the indicated measure. 2. in.: 9 yd 3. mm : 92 cm 4. cm : km 4. m I 5. m Y 6. WX
Name: Use the spinner to find the probability. The spinner is divided into equal parts. 24. $3.60 gal =? $ pt 25. Find the value of x. 5 9 = x x + 4 5. What is the probability that the spinner stops on a number whose ones digit is 2? 6. What are the probability of stopping on a multiple of 3? 7. If you spin the spinner 00 times, how many times do you expect it to stop on a number less than 0? 8. Find the unit rate. 86 words 3 min 26. 27. 28. 29. x 7 0 = x 5 Solve the proportion. 27 45 = z 5 40 m = 32 6 0.75 0.6 = 6 c 9. 926 cycles 30 sec 30. x 400 = 2.4 0.2 Write the equivalent rate. Given JKLMN VWXYZ, find the indicated measure. 20. km h =? m h 2. 5 mi min =? f t min 22. 23. $620 ton =? $ lb 2 mi min =? in. min 3. m Y 32. m X 33. YZ 2
Name: Given ABE, CDE, and EFG are all similar, find the indicated measure. Find the ratio of the area of the shaded region to the area of the unshaded region. The figures are composed of rectangles, squares, and right triangles. 34. AB 35. FG 36. BE 37. EF 38. A map has a scale of inch : 2 miles. Use the 2 given map distance to find the actual distance. 8 in. 39. 3 3 4 in. 42. 43. You are renting a car. You can choose a compact, mid-size, full-size, or sports utility vehicle. From those categories you can choose a low, average, or high priced model. How many different automobile choices do you have? 44. You are having a picnic and need to buy paper plates. A store sells two different brands of paper plates. Brand A costs $.96 for 2 paper plates, and Brand B costs $.40 for 20 paper plates. How much money will you save if you buy 60 of the brand of paper plates with the lower unit price? 45. You are making almond milk. The recipe states that you need 4 parts water for every part almonds. You used 6 cups of water and 2 bags of almonds. How many cups of almonds are in each bag? A map has a scale of centimeter : 50 kilometers. Use the given actual distance to find the distance on the map. 40. 575 km 46. A cereal company sells their cereal in three different size boxes. All three boxes are similar. Box A has a height of 2 inches, a width of 8 inches, and a depth of 4 inches. Box B has a height of 0 inches, and Box C has a width of 6 inches. What are the dimensions of Box B and Box C? 4. 30 km 3
Name: Use the following information. At a carnival, you are playing a game in which you throw a dart at the rectangular board shown. You must throw the dart into the square region marked with the "X" to win a prize. The dart has an equal likelihood of landing at any point on the rectangular board. 47. What is the probability that you win a prize? 48. About how many times would you expect to throw the dart to win two prizes? Use the following information. You roll a 6-sided number cube and a 0-sided number decahedron. 49. How many different possible outcomes are there for the pairs of numbers rolled? 50. What is the probability that you roll the same number on the cube and the decahedron? 5. You are reading a book. It took you 4 days to read the first 04 pages. If you continue to read at the same rate each day, how many days will it take you to read the remaining 468 pages? 52. A building casts a shadow 8 feet long. A woman standing near the building is 5 feet 8 inches tall and casts a shadow 4 feet long. What is the height of the building in feet and inches? 4
Chapter 6 Review Answer Section. 2. Corresponding angles: G and U, H and V, I and W; J and X; Corresponding sides: GH and UV, HI and VW, IJ and WX, GJ and UX Corresponding Angles: A and D, B and E, C and F; Corresponding Sides: AB and DE, BC and EF, AC and DF 4 3. 3 4. 45 5. 20 6. 6 m 7. 6 in. 4 8. 5, 2 :40, 5 : 6, 2 to 6, 3 8 9. 3 :6, 9 0, 5 to 2, 20 :7, 4 3 0. 22 cm. 0.5 cm 2. : 324 3. : 920 4. : 00,000 5. 6 6. to 3 7. 75 times 8. 62 words per minute 9. 30 3 cycles per minute 5 20. 000 meters per hour 26,400 ft 2. min $.3 22. lb 26,720 in. 23. min $.45 24. pt 25. 5 26. 7 27. 9 28. 20 29. 4.8
30. 24,800 3. 38 32. 90 33. 8 in. 34. 0 m 35. 7.5 m 36. 6 m 37. 2 m 5 38. 6 mi 39. 9 3 8 mi 40. 0.5 cm 4. 0.2 cm 3 42. 43. 2 automobiles 44. $.60 45. 2 cups 46. Box B:0 in. 6 2 3 in. 3 3 in. Box C:9 in. 6 in. 3 in. 47. 30 48. 60 times 49. 60 50. 0 5. 8 days 52. 25 ft 6 in. 2