Answer:
Option D. The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems.
Step-by-step explanation:
step 1
we know that
The SSS Similarity Theorem , states that If the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar
In this problem
Verify
substitute the values
---> is true
therefore
The triangles are similar by SSS similarity theorem
step 2
we know that
The SAS Similarity Theorem , states that two triangles are similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are equal
In this problem
Two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are equal
therefore
The triangles are similar by SAS similarity theorem
The true statement is The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems.
Hence, the correct answer is option (d).
Learn more about the similarity theorem, refer to:
https://brainly.com/question/23961310
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