Answer: SSS similarity theorem,
Step-by-step explanation:
From the given picture, the ratio of the corresponding sides will be :-
[tex]\dfrac{KM}{EG}=\dfrac{8}{24}=\dfrac{1}{3}[/tex]
[tex]\dfrac{KL}{EF}=\dfrac{6}{18}=\dfrac{1}{3}[/tex]
[tex]\dfrac{ML}{GF}=\dfrac{5}{15}=\dfrac{1}{3}[/tex]
We can be see that the sides of both triangles is proportional .
i.e. [tex]\dfrac{KM}{EG}=\dfrac{KL}{EF}=\dfrac{ML}{GF}=\dfrac{1}{3}[/tex]
So by SSS similarity theorem, we have
ΔKLM ≈ ΔEFG
- SSS similarity theorem says that if the lengths of the corresponding sides of two triangles are proportional then the triangles are similar.
- SAS similarity theorem says that if two sides in a triangle are proportional to corresponding two sides in other triangle with the corresponding included angle in both are congruent then the two triangles are similar.
