In the diagrams below, ABC is similar to RST. Use a proportion with sides AB and RS to find the scale factor of ABC to RST. Show your work.

Answer:The scale factor of triangle ABC to triangle RST is 1/3Step-by-step explanation:we know thatIf two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factorLetz ----> the scale factorTo find the scale factor divide the length side of the image (reduced triangle) by the corresponding length side of the pre-image (original triangle)[tex]z=\frac{RS}{AB}[/tex]substitute the values[tex]z=\frac{6}{18}[/tex]simplify[tex]z=\frac{1}{3}[/tex]The scale factor is less than 1soIs a reduction