Question

1. be careful on this one! similar: ____________ similar statement: △__~△____

Explanation:

Step1: Check the ratio of corresponding sides

For $\triangle ABC$ with sides $AB = 15$, $BC=9$, $AC = 12$ and $\triangle DEF$ with sides $DE=24$, $DF = 18$, $EF=30$. Calculate the ratios: $\frac{AB}{DE}=\frac{15}{24}=\frac{5}{8}$, $\frac{BC}{DF}=\frac{9}{18}=\frac{1}{2}$, $\frac{AC}{EF}=\frac{12}{30}=\frac{2}{5}$. Since the ratios of the corresponding sides are not equal.

Step2: Determine similarity

The two triangles are not similar.

Answer:

No; $\triangle ABC$ is not similar to $\triangle DEF$