Question

Determine if the triangles are similar. If similar, choose how and also choose the correct similarity statement.
Select 2 correct answer(s)
SAS
SSS
AA
Not Similar
△LMN ~ △GHN
△LNM ~ △GHN
△MLN ~ △GHN

Answer 1

Answer:

• SAS
• ∆LMN ~ ∆GHN

Step-by-step explanation:

If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.

  LG/MH = 12.5/10 = 1.25

  GN/HN = 40/32 = 1.25 . . . . so the triangles are similar

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The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.

Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.