The two figures are similar. a). Write the similarity statement. b). Is the image of the dilation a reduction or an enlargement of the original figure? Explain. c) what is the scale factor? Explain

Given:Two similar figures.Solution:Part a:  ΔABC and ΔA'B'C' are similar.Similarity statement:If two triangles are similar, then the corresponding sides are in proportion.[tex]$\frac{A B}{A^{\prime} B^{\prime}} = \frac{6}{24} =\frac{1}{4}[/tex][tex]$\frac{BC}{B^{\prime} C^{\prime}} = \frac{12}{48} =\frac{1}{4}[/tex][tex]$\frac{CA}{C^{\prime} A^{\prime}} = \frac{15}{60} =\frac{1}{4}[/tex]The sides are in the same ratio. Therefore the two triangles are similar.Part b: The sides of A'B'C' are greater than the original image ABC.Therefore, the dilation A'B'C' is an enlargement.Part c:Scale factor:[tex]$K =\frac{\text {Side length of image }}{\text {Side length of original }}[/tex][tex]$K =\frac{A^{\prime}B^{\prime}}{AB}[/tex][tex]$K =\frac{24}{6}[/tex]K = 4 Scale factor = 4K > 1Therefore the image of the dilation is enlargement.