Question

1. what similarity property, if any, can be used to show that the following two triangles are similar.

not enough information given
aa
sas
sss

Explanation:

Step1: Calculate the ratios of corresponding sides

For \(\triangle DEF\) and \(\triangle GHI\), we have:
\(\frac{DE}{GH}=\frac{8}{12}=\frac{2}{3}\), \(\frac{EF}{HI}=\frac{6}{9}=\frac{2}{3}\), \(\frac{DF}{GI}=\frac{10}{15}=\frac{2}{3}\)

Step2: Check similarity property

Since \(\frac{DE}{GH}=\frac{EF}{HI}=\frac{DF}{GI}=\frac{2}{3}\), by the SSS (Side - Side - Side) similarity criterion, the two triangles are similar.

Answer:

SSS