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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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Presentation Transcript
slide1
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

slide2
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

slide3
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.

slide4
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

slide5
EXAMPLE 2

Draw a dilation

STEP 3

Add a second label D’ to point D. Draw the sides ofD’E’F’G’.

slide6
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

slide7
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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