Question

Are triangles DEF and LNM similar if LN equals 5, MN equals 3, DE equals 10, and FE equals 6?

triangles LNM and DEF with angles N and E marked with the right angle symbol

No, the corresponding sides are not proportional
No, the corresponding angles are not congruent
Yes, by the SSS Similarity Postulate
Yes, by the SAS Similarity Postulate

Answer 1

[AI-generated answer — Bot GPT 3.5]

No, the corresponding sides are not proportional.

To determine if triangles DEF and LNM are similar, we need to check if the corresponding sides are proportional. In this case, the side ratios are not equal:

DE/FE = 10/6 = 5/3,
MN/LN = 3/5.

Therefore, the triangles are not similar.