Question

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

Answer 1

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.

Explanation:

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

`(AB)/(FE) = (BC)/(ED)= (CA)/(FD)   \\\\(15)/(20) =(12)/(16) =(18)/(24) \\\\ (3)/(4) =(3)/(4) =(3)/(4)`

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