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Geometry Worksheet #2 Name: Date: Per: 1. Which of the following scale factors is a reduction? a) 3 : 1 b) 0.75 : 0.5 c) 2 : 3 d) 1.0055 : 1 c) 0.088 : 0.5 d) 6.5 : 7 2. Which of the following scale factors is an enlargement? a) 1.00002 : 1 b) 4 : 5 3. Circle whether the following situations are enlargements or reductions. a) b) C c) C C' C' B O D' D O D' B' B' D B' B O B Reduction or Enlargement Reduction or Enlargement Reduction or Enlargement 4. Determine whether the dilation is an enlargement or a reduction and then determine the scale factor. Place the scale factor in the most reduced form (no decimals). a) Enlarge or Reduce b) Enlarge or Reduce _____ : _____ _____ : _____ c) Enlarge or Reduce _____ : _____ B B' 12 cm C 3 cm C' H' A' 2 cm 16.5 cm B C _____ : _____ B' B 1 cm d) Enlarge or Reduce B' C' 1 cm O A H 15 cm 5.5 cm C C' 5. Use the given diagram to answer the following questions about the dilation (centered at O with k = ¼). OA = 6 cm, OB = 7 cm, and AB = 8 cm A 6 cm A' a) A’B’ = b) OB’ = O 8 cm c) OA’ = d) AA’ = B' 7 cm e) BB’ = f) What is the ratio of OA’ : AA’? B 6. Tiffany sees this given dilation and claims that the scale factor is 2 because 4 is twice as big as 2. Is this a scale factor of 2? Explain. O 2 C A 4 B A' C' B' 7. Determine the missing point. D a) G H DH ,4 ( B) (______) B b) O F DH ,3 ( H ) (______) C E c) D C, 1 2 (______) ( F ) 8. Using a compass and straightedge dilate the given figure with a scale factor of 1.75. A B C D Using a compass and a straightedge, dilate each figure with the given scale factor and center. 9. k = 2; Center: D D B A C