They are similar triangles based on the SSS similarity theorem.
The answer is: A. Yes, by SSS similarity theorem
What are Similar Triangles?
If the corresponding sides of two triangles are proportional or have equal ratio, and their corresponding angles are congruent to each other, the two triangles are considered similar to each other.
What is the Side-Side-Side Similarity Theorem (SSS)?
The side-side-side similarity theorem (SSS) states that if two triangles have three corresponding sides that are proportional or have ratios that are equal, then both triangles are similar triangles.
From the image given, let's find the ratios of the corresponding sides:
DF/AC = 42/12 = 3.5
EF/BC = 38.5/11 = 3.5
DE/AB = 35/10 = 3.5
Thus, both triangles have three corresponding sides with equal ratios. Therefore, they are similar triangles based on the SSS similarity theorem.
The answer is: A. Yes, by SSS similarity theorem.
Learn more about the SSS similarity theorem on:
https://brainly.com/question/4163594
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