Question

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

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

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

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

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

Answer 1

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

Explanation:

i took the test, every test is different but this is what the answer is on mine, hope this helps.

Answer 2

Answer: The answer is (b) △ABC is similar to △JKL by ​ AA Similarity Postulate ​.

Step-by-step explanation: We are given a triangle ABC with ∠B = 65° and ∠C = 65°. We are to find the triangle among the other three options which ΔABC similar to.

We can see that in △JKL, we have

∠K = 65° and ∠L = 65°.

Therefore, in ΔABC and ΔJKL, we have

∠B = ∠K,

∠C = ∠L.

So, by AA similarity postulate, we get

ΔABC ≈ ΔJKL.

Thus, the correct option is (b) △ABC is similar to △JKL by ​ AA Similarity Postulate ​.