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3 rd Nine Weeks Review

3 rd Nine Weeks Review. MATH 7. Problem #1. Which answer is an example of a dilation of the figure below? a. b. c. d. Problem #2.

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3 rd Nine Weeks Review

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  1. 3rd Nine WeeksReview MATH 7

  2. Problem #1 Which answer is an example of a dilation of the figure below? a. b. c. d.

  3. Problem #2 A picture of a star is placed on a coordinate plane. It undergoes a 150% dilation with respect to the origin. One point of the star originally had coordinates of (2,4). What are the coordinates of the dilated image of this point? a.( 2,6) b. (3,4) c. (3,6) d. (152, 154)

  4. Problem #3 What kind of transformation is represented on the coordinate plane? a. dilation b. reflection c. rotation d. translation

  5. Problem #4 Given coordinates (1,3), (-2,6), and (4,5), what would be the new coordinates with a scale factor of ? a. (1,1.5), (-2,3), (4,2.5) b. (0.5,3), (-1,6), (2,5) c. (0.5,1.5), (-1,3), (2,2.5) d. (2,6), (-4,12), (8,10)

  6. Problem #5 A triangle has an area of 4 square cm. and a similar triangle has an area of 36 square cm. What is the scale factor for these similar triangles? a. 36 b. 9 c. 4 d. 3

  7. Problem #6 Stacey decides to dilate the area of her garden. The original length of the garden is 12 feet and the area is 78 square feet. The length of the new garden will be 18 feet. What will be the area of the new garden? a. 2.7ft² b. 52ft² c. 84ft² d. 117ft²

  8. Problem #7 A 4” by 6” photograph was reduced to a 2” by 3” photograph for a wallet. What scale factor was used to reduce the photograph? a. 2 b. 1.5 c. 1 d. ½

  9. Problem #8 A triangle has 2 congruent sides that are x centimeters long. The third side measures 3 centimeters more than each of the congruent sides. Which expression could be used to represent the perimeter in centimeters of this triangle? a. 4x+6 b. 3x+6 c. 3x+3 d. 2x+3

  10. Problem #9 If ΔDEF is congruent to ΔABC, which angles are corresponding angles? a. <a and <d b. <b and <f c. <a and <f d. <a and <e

  11. Problem #10 If ΔGHI~ΔJKL, you could conclude that: a. b. c. d.

  12. Problem #11 A land lot has an area of 50 sq.ft. A similar land lot has an area of 200 sq.ft. What is the scale factor for these similar land lots? a. 150 b. 16 c. 4 d. 2

  13. Problem #12 Two rectangles are similar to each other. The length of one rectangle is 32cm. The length of the similar rectangle is 40cm. What is the ratio of the area of the smaller length rectangle to the similar larger length rectangle? a. 1.5625 b. 1.25 c. 0.8 d. 0.64

  14. Problem #13 Choose the phrase that would complete the statement: Two figures are similar if they_________. a. have the same size, but not the same shape b. have neither the same size nor the same shape c. have the same shape, but not the same size d. none of the above

  15. Problem #14 The pentagons below are similar. If the area of the larger pentagon is 100sq.ft., what is the area of the smaller pentagon?20ft12ft a. 36ft² b. 60ft² c. 92ft² d. The area cannot be determined 12ft 20ft

  16. L P 20 m. 32 m. 16 m. Q R N M 12 m. Problem #15 In the diagram below, What is the ratio of the area of PQR to the area of LMN? a. 1 b. 0.25 c. 0.5 d. 4

  17. Problem #16 If y=6 and x=4, what is the value of y when x varies inversely and is equal to 8? a. 12 b. 8 c. 4 d. 3

  18. Problem #17 Which graph shows the solution to the equation y= ? a. b. c. d.

  19. Problem #18 Mr. Scott’s garden measures 20yds by 15yds. If fertilizer comes in 5 lb. bags and 1 bag covers 300 square feet, how many bags will he need to fertilize the entire garden? a. 54 b. 18 c. 9 d. 1

  20. Problem #19 Which statement best represents the equation y= ? a. The equation is a direct proportion, but not an inverse proportion. b. The equation is an inverse proportion, but not direct proportion. c. The equation is both a direct proportion and an inverse proportion. d. The equation is neither a direct nor inverse proportion.

  21. Problem #20 Which graph represents an inverse proportion? a. b. c. d.

  22. Problem #21 Given the equation y=4x, which of the following statements is correct? a. The equation represents a direct proportion. b. The equation represents an inverse proportion. c. The equation represents both a direct and inverse proportion. d. The equation represents neither a direct or inverse proportion.

  23. Problem #22 y varies directly with x. If y=6 and x=2, what is the value of y when x=5? a. 60 b. 15 c. 2.4 d. 1.67

  24. Problem #23 Alex rides his bike from school to home in 30 minutes traveling 20mph. Today he needs to get home 5 minutes faster. How fast must he ride his bike? a. 37.5mph b. 28mph c. 24mph d. 16.67mph

  25. Problem #24 Tim and Angie are working together on a research paper. Tim can type 30 words per minute and can finish the paper in 2.6 hours. Angie can type 22 words per minute. How long will it take to the two of them working together to type the paper? a. 6.76hrs b. 1.9hrs c.1.5hrs d. 0.3hrs

  26. Problem #25 The following 4 coordinates are connected points on a coordinate plane: (2,3), (1,6), (3,2), (6,1). Which of the following answers best represents the connected points? a. inverse proportion b. direct proportion c. neither a direct nor inverse proportion d. both a direct and inverse proportion

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