Question

Determine if ABC and FHG are similar. if so, write the similarity statement.

Answer 1

Given the triangles ABC and FHG

To check the similarity, find the ratio between the corresponding sides

Given AB = 72 and BC = 84 and AC = 48

And FH = 12 and HG = 14 and FG = 8

So,

The ratios will be as following:

$\begin{gathered} \frac{FH}{AB}=\frac{12}{72}=\frac{1}{6} \\ \\ \frac{HG}{BC}=\frac{14}{84}=\frac{1}{6} \\ \\ \frac{FG}{AC}=\frac{8}{48}=\frac{1}{6} \end{gathered}$

As the ratio between the corresponding sides are equal to 1/6

So, the triangles are similar

So, the answer is option A.