EXAMPLE 1 Identify dilations Find the scale factor

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

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

EXAMPLE 2 Draw a dilation Draw and label DEFG. Then construct a dilation of DEFG with point D as the center of dilation and a scale factor of 2. SOLUTION STEP 1 Draw DEFG. Draw rays from D through vertices E, F, and G.

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

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

GUIDED PRACTICE for Examples 1 and 2 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 3 1 Because CP’ = , the scale factor is k = CP 12 4 The image P’ is a reduction. .

GUIDED PRACTICE for Examples 1 and 2 2. Draw and label RST. Then construct a dilation of RST with R as the center of dilation and a scale factor of 3. ANSWER