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UNIT
14
14.4: Dilate a Figure
4
$$\triangle ABC$$ is mapped to $$\triangle A’B’C$$ by a dilation. What is the scale factor?
• Scale factor, k = $$\frac {A'C'}{AC}$$ = $$\frac 93$$ = 3
• Since the image is smaller than the preimage, scale factor k > 1.
• $$\frac {Image\; length}{Preimage\; length}$$ = k
• Example: $$\frac {A'C'}{AC}$$ = k

5
$$\triangle ABC$$ is mapped to $$\triangle A’B’C$$ by a dilation. What is the scale factor?
• Scale factor, k = $$\frac {A'C'}{AC}$$ = $$\frac 36$$ = $$\frac 12$$

• Scale factor, k = $$\frac {B'C'}{BC}$$ = $$\frac {5}{10}$$ = $$\frac 12$$
• Since the image is smaller than the preimage, 0 < scale factor k < 1.
• $$\frac {Image\; length}{Preimage\; length}$$ = k
• Example: $$\frac {B'C'}{BC}$$ = k