Respuesta :

Answer:

2

Step-by-step explanation:

Since ABC and A'B'C are similar triangles, the scale factor between their matching sides are equal to the overall scale factor. Thus, you would need to multiply AC by 2 to get the length of A'C'. 8/4 = 2.

      Option B will be the correct option.

   Given in the question,

  • ΔA'B'C' is the image of the preimage ΔABC.
  • Measure of one side (AC) of ΔABC = 4 cm
  • Measure of the corresponding side(A'C') of ΔA'B'C' = 8 cm

Expression for the scale factor of an object is given by,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Corresponding dimension of the preimage}}[/tex]

                    = [tex]\frac{A'C'}{AC}[/tex]

                    = [tex]\frac{8}{4}[/tex]

                    = 2

     Therefore, scale factor for ΔABC to ΔA'B'C' will be 2.

                        Option (B) will be the answer.

Learn more,

https://brainly.com/question/24747099