Unit 7 Test (stalions Simmemon)

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Unit 7 Test (stalions Simmemon)

Scale factor, similar figures, area ratios and more!


Questions and Answers
  • 1. 
    A square in a coordinate plane undergoes a 125% dilation with respect to the origin. One corner of the square originally had coordinated (20,40). What are the coordinates of the dilated image of this corner?  
    • A. 

      (20,50)

    • B. 

      (25,40)

    • C. 

      (25,50)

    • D. 

      (145,165)

  • 2. 
    A coffee mug is pushed across a kitchen table. What type of transformation is that?  
    • A. 

      Dilation

    • B. 

      Reflection

    • C. 

      Rotation

    • D. 

      Translation

  • 3. 
      Which statement is true?  
    • A. 

      A) If figures are similar, they must be congruent.

    • B. 

      B) If figures are similar, they cannot be congruent.

    • C. 

      C) If figures are congruent, they must be similar.

    • D. 

      D) If figures are congruent, they cannot be similar.

  • 4. 
    1. Triangle BCD is similar to triangle MNO. Which proportion could be used to find the length of CD?
  • A. 

    See above

  • B. 

    See above

  • C. 

    See above

  • D. 

    See above

  • 5. 
    Using a scale factor of 2.5.  Which shape is similar to the original shape below?
    • A. 

      See above

    • B. 

      See above

    • C. 

      See above

    • D. 

      See above

  • 6. 
    Which units of measurement would be MOST useful for measuring the length of a swimming pool?          
    • A. 

      Centimeters

    • B. 

      Kilometers

    • C. 

      Meters

    • D. 

      Millimeters

  • 7. 
    Scott drew a picture on a piece of paper. The picture measured 11 inches tall and 8.5 inches across. Then Scott photocopied his paper, using a 70% scale factor setting. To the nearest square inch, what is the area of the photocopied picture?  
    • A. 

      70 square inches

    • B. 

      65 square inches

    • C. 

      50 square inches

    • D. 

      46 square inches

  • 8. 
    A rectangle has an area of 30 square feet. A similar rectangle has an area of 270 square feet. What is the scale factor for these similar rectangles?  
    • A. 

      3

    • B. 

      9

    • C. 

      81

    • D. 

      240

  • 9. 
    The point (7, -3) is translated 4 units to the left and 10 units down. What are the coordinates of the translated point?  
    • A. 

      (11,-7)

    • B. 

      (11,-13)

    • C. 

      (3,-7)

    • D. 

      (3,-13)

  • 10. 
    Which of the following is equivalent to 4 tons?  
    • A. 

      400 pounds

    • B. 

      2,000 pounds

    • C. 

      4,000 pounds

    • D. 

      8,000 pounds

  • 11. 
     How many liters are there in 5,300 milliliters?      
    • A. 

      0.53 Liters

    • B. 

      5.3 Liters

    • C. 

      53 Liters

    • D. 

      53,000 Liters

  • 12. 
    The scale drawing shows a lawn.  The longest side is 2 ¼ inches. What What is the actual length, in feet, of the longest side of the lawn?
    • A. 

      30 feet

    • B. 

      36 feet

    • C. 

      60 feet

    • D. 

      54 feet

  • 13. 
    The map below shows a distance between the towns of Hamlet and Gaineston on a map.  The distance, on the map, between these two towns is 4.5 centimeters.  The actual distance between the two towns is 9 kilometers.  What is the scale for this map?
    • A. 

      A) 1 centimeter = 2 kilometers

    • B. 

      B) 1 centimeter = 3 kilometers

    • C. 

      C) 1 centimeter = 4 kilometers

    • D. 

      D) 1 centimeter = 9 kilometers

  • 14. 
    1. A statue is 64 meters tall.  A scale drawing of the statue is 16 centimeters tall.  Which is the scale of the drawing?
     
    • A. 

      1 m = 48 cm

    • B. 

      1 cm = 4 m

    • C. 

      1 m = 4 cm

    • D. 

      1 cm = 48 m

  • 15. 
    The distance from Eastville to Mathville is 4.5 inches on the map.  Using the scale, what is the distance in miles between the two cities?
    • A. 

      0.75 miles

    • B. 

      10.5 miles

    • C. 

      27 miles

    • D. 

      1.5 miles

  • 16. 
    If ABCD is similar to EFGH, what is the length of side FG?
    • A. 

      14 in

    • B. 

      8 in

    • C. 

      6 in

    • D. 

      12.5 in

  • 17. 
    What is the scale factor of the following set of similar figures?
    • A. 

      4:3

    • B. 

      1:1

    • C. 

      2:3

    • D. 

      1:2

  • 18. 
    1. A trapezoid has an area of 50 sq in. A similar trapezoid has an area of 200 sq in. What is the scale factor of these similar trapezoids?
     
    • A. 

      2

    • B. 

      4

    • C. 

      16

    • D. 

      150

  • 19. 
    Spencer drew a rectangle similar to but larger than the one shown below. Spencer used a scale factor of 300%. What was the perimeter of Spencer’s rectangle?
    • A. 

      36 cm

    • B. 

      72 cm

    • C. 

      108 cm

    • D. 

      216 cm

  • 20. 
    A square in a coordinate plane undergoes a 40% dilation with respect to the origin. One corner of this square originally had coordinates (60, 80). What are the coordinates of the dilated image of this corner?  
    • A. 

      (20,60)

    • B. 

      (24,32)

    • C. 

      (36,48)

    • D. 

      (40,40)

  • 21. 
    The point P has the coordinates (9, -2). The point is translated 2 units up to make point P’. Then P’ is reflected across the y-axis to form point P’’. What are the coordinates of P’’?
    • A. 

      (-11, -2)

    • B. 

      (-9, 4)

    • C. 

      (-9, 0)

    • D. 

      (-9,-4)

  • 22. 
    96 in = ___ ft
  • 23. 
    72 ft = ___yd
  • 24. 
    7 pt = ___ qt
  • 25. 
    10 mi = ___ ft
  • 26. 
    15,000 m = _____ km
  • 27. 
    122 cm = ____ mm