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EXAMPLE 1

a. Because = , the scale factor is k = . The image P’ is an enlargement. a. CP’. 12. 3. CP. 8. 2. EXAMPLE 1. Identify dilations. Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement. SOLUTION. b. b.

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EXAMPLE 1

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  1. a. Because = , the scale factor is k = . The image P’ is an enlargement. a. CP’ 12 3 CP 8 2 EXAMPLE 1 Identify dilations Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement. SOLUTION

  2. b. b. Because = , the scale factor is k = . The image P’ is a reduction. CP’ 3 CP 5 18 30’ EXAMPLE 1 Identify dilations Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement. SOLUTION

  3. Draw and label DEFG. Then construct a dilation of DEFGwith point Das the center of dilation and a scale factor of 2. EXAMPLE 2 Draw a dilation SOLUTION STEP 1 Draw DEFG. Draw rays from Dthrough vertices E, F, and G.

  4. Open the compass to the length of DE. Locate E’ on DEsoDE’ = 2(DE). Locate F’ and G’ the same way. EXAMPLE 2 Draw a dilation STEP 2

  5. EXAMPLE 2 Draw a dilation STEP 3 Add a second label D’ to point D. Draw the sides ofD’E’F’G’.

  6. 1. In a dilation, CP’ = 3 and CP = 12. Tell whether the dilation is a reduction or an enlargement and find its scale factor. ANSWER Because = , the scale factor is k = . The image P’ is a reduction. CP’ 1 CP 4 3 12 for Examples 1 and 2 GUIDED PRACTICE

  7. 2. Draw and label RST. Then construct a dilation of RSTwith Ras the center of dilation and a scale factor of 3. ANSWER for Examples 1 and 2 GUIDED PRACTICE

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