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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