Answer:
The triangles are not similar.
Step-by-step explanation:
Given
[tex]\triangle IGF[/tex] and [tex]\triangle MNL[/tex]
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
[tex]IG = 12[/tex] [tex]MN = 14[/tex]
[tex]GF = 16[/tex] [tex]NL = 18[/tex]
For both triangles to be similar, the following equivalent ratios must be equal.
[tex]\frac{IG}{MN} = \frac{GF}{NL}[/tex]
[tex]\frac{12}{14} = \frac{16}{18}[/tex]
[tex]\frac{6}{7} \ne \frac{8}{9}[/tex] -- since both ratios are not equal, then the triangles are not similar
