Respuesta :

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

[tex]\triangle DE F[/tex] and [tex]\triangle ABC[/tex]

Required

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex]

Take a corresponding side in both triangles.

We have:

[tex]DE= 20[/tex]     [tex]AB = 10[/tex]

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex] is:

[tex]k =\frac{AB}{DE}[/tex]

[tex]k =\frac{10}{20}[/tex]

[tex]k =\frac{1}{2}[/tex]

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