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1 vote
1 vote
Which triangle is ​△ABC​ similar to and why?

△ABC is similar to △DEF by ​AA Similarity Postulate​.

△ABC is similar to △GHI by ​AA Similarity Postulate​.

△ABC is similar to △JEL by ​AA Similarity Postulate​.

​△ABC​ is not similar to any of the triangles given.

Which triangle is ​△ABC​ similar to and why? △ABC is similar to △DEF by ​AA Similarity-example-1
User Nsmyself
by
2.3k points

2 Answers

11 votes
11 votes

Final answer:

Without enough information on the angles of the given triangles, we cannot confirm the similarity of triangle ABC with any of the named triangles using the AA Similarity Postulate.

Step-by-step explanation:

The question is regarding the similarity of triangles, specifically which given triangle is similar to triangle ABC using the AA Similarity Postulate. The AA Similarity Postulate states that two triangles are similar if two angles of one triangle are congruent to two angles of another triangle. To establish that △ABC is similar to another triangle, we would need to know that at least two angles in △ABC correspond to two congruent angles in the other triangle. Without additional angle information on △DEF, △GHI, or △JEL, we are unable to determine similarity based on the provided excerpt. Therefore, the best conclusion is that triangle ABC is not verifiably similar to any named triangles given the current information.

User Shanlodh
by
3.1k points
17 votes
17 votes

Answer:

△ABC is similar to △JEL by ​AA Similarity Postulate​.

Step-by-step explanation:

User Federico Barabas
by
3.2k points
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