Dilations-He Said, She Said (12/10)
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Answer:
Emily is correct
Step-by-step explanation:
Given
Shapes JKL and J'K'L'
Required
Determine the scale of dilation
Scale of dilation is calculated as:
[tex]Scale = \frac{Dilated\ Length}{Original\ Length}[/tex]
Taking LK and L'K as a point of reference,
We have:
[tex]LK = 18\ units[/tex]
and
[tex]L'K' = 6\ units[/tex]
The scale is then calculated as:
[tex]Scale = \frac{L'K'}{LK}[/tex]
[tex]Scale = \frac{6}{18}[/tex]
[tex]Scale = \frac{1}{3}[/tex]
Hence, Emily is correct and Emmitt is incorrect