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.

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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 =, the scale factor is k =. The image P’ is an enlargement. CP’ CP

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

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. Because =, the scale factor is k =. The image P’ is a reduction. CP’ CP ANSWER

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