Question

Are the two triangles similar? If so, state the reason and the similarity statement.

Answer 1

Answer:

The triangles are not similar.

Step-by-step explanation:

Given

$\triangle IGF$ and $\triangle MNL$

See attachment for triangles

Required

Determine if both triangles are similar or not

From the attached triangles, the corresponding sides are:

IG & MN and GF & NL

Where

$IG = 12$         $MN = 14$

$GF = 16$        $NL = 18$

For both triangles to be similar, the following equivalent ratios must be equal.

$\frac{IG}{MN} = \frac{GF}{NL}$

$\frac{12}{14} = \frac{16}{18}$

$\frac{6}{7} \ne \frac{8}{9}$ -- since both ratios are not equal, then the triangles are not similar