Respuesta :

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

ΔABC is the preimage and ΔA'B'C' is image of ΔABC when dilated by a scale factor 'k'.

Scale factor 'k' = [tex]\frac{\text{Dimension of image triangle A'B'C'}}{\text{Dimension of preimage triangle ABC}}[/tex]

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

                        = [tex]\frac{7.5}{3}[/tex]

                        = 2.5

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

Therefore, Option (4) will be the correct option.