Respuesta :

Answer:

eight

Step-by-step explanation:

The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.

What is a scale factor?

The scale factor between two figures (any dimensions) is the scale to which the original figure (preimage) is multiplied to make the transformed figure (image).

How do we solve the given question?

In ΔABC and ΔDEF,

AB/DE = BC/EF = CA/FD (Corresponding sides of triangle are in ratio)

∴ ΔABC ~ ΔDEF (SSS axiom)

The scale factor = A side of ΔDEF/Corresponding side of ΔABC = DE/AB = 48/6 = 8.

∴ The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.

Learn more about the scale factor at

https://brainly.com/question/10253650

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