Question

Are the polygons below similar? If they are, write a statement and give the scale factor.

Answer 1

Answer:

Yes they are similar. Triangle ABC is similar to Triangle FED. The scale factor from large to small is 3/4 or small to large is 4/3.

Step-by-step explanation:

To determine if two triangles are similar, their corresponding sides create equal ratios.

$\frac{AB}{FE} = \frac{BC}{ED}= \frac{CA}{FD} \\\\\frac{15}{20} =\frac{12}{16} =\frac{18}{24} \\\\ \frac{3}{4} =\frac{3}{4} =\frac{3}{4}$

This ratio is the scale factor depending on which is the pre-image. 3/4 or 4/3.