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} (FH)/(AB)=(12)/(72)=(1)/(6) \\ \\ (HG)/(BC)=(14)/(84)=(1)/(6) \\ \\ (FG)/(AC)=(8)/(48)=(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.