When a shape is dilated, the size of the new shape will be different (i.e. bigger or smaller) from the size of the original shape. The scale factor from [tex]\triangle JKL[/tex] to [tex]\triangle J'K'L'[/tex] is 2
Given that:
[tex]\triangle JKL \sim \triangle J'K'L'[/tex] --- similar triangles
Where
[tex]J = (4,6)\\K = (2,4)\\L = (6,3)[/tex] [tex]J' = (8,12)\\K' = (4,8)\\L' = (12,6)[/tex]
To calculate the scale factor (k) from [tex]\triangle JKL[/tex] to [tex]\triangle J'K'L'[/tex], we simply divide the coordinates of [tex]\triangle J'K'L'[/tex] by the coordinates of [tex]\triangle JKL[/tex]
Using J and J' as points of reference:
[tex]k = \frac{J'}{J}[/tex]
This gives:
[tex]k = \frac{(8,12)}{(4,6)}[/tex]
Factorize
[tex]k = \frac{2 \times (4,6)}{(4,6)}[/tex]
Cancel out the common term
[tex]k = 2[/tex]
Hence, the scale factor from [tex]\triangle JKL[/tex] to [tex]\triangle J'K'L'[/tex] is 2
Read more about scale factors and dilation at:
https://brainly.com/question/2700001
