Select the postulate or theorem that you can use to conclude that the triangles are similar.


SSS Similarity Theorem

AA Similarity Postulate

SAS Similarity Theorem

Select the postulate or theorem that you can use to conclude that the triangles are similar SSS Similarity Theorem AA Similarity Postulate SAS Similarity Theore class=

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Answer: SSS Similarity Theorem

Step-by-step explanation:

  • SSS Similarity Theorem says that the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar.

In the given picture , we have two triangles XYZ and KMN, where

[tex]\dfrac{3}{4.5}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]

[tex]\Rightarrow\ \dfrac{XZ}{KN}=\dfrac{ZY}{MN}=\dfrac{XY}{KM}=\dfrac{2}{3}[/tex]

By SSS similarity theorem , we have

ΔXYZ ≅ ΔKMN

Answer:

SSS or Side-Side-Side

Step-by-step explanation:

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