Question

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

Question 12 options:



A)

Yes; SAS; ΔIGF ∼ ΔMNL



B)

The triangles are not similar.



C)

Impossible to determine.



D)

Yes; AA; ΔIGF ∼ ΔMNL

Answer 1

The triangles are not similar.

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.

`(IG)/(MN) = (GF)/(NL)`

`(12)/(14) = (16)/(18)`

`(6)/(7) \\e (8)/(9)` -- since both ratios are not equal, then the triangles are not similar