Match the similarity theorem to the correct way to prove the criterion.

Question

1. I can prove the pictured triangles are similar using SSS~ by

2. I can prove the pictured triangles are similar using SAS~ by

3. I can prove the pictured triangles are similar using AA~ by

answers:
finding the lengths of two sides in each triangle and checking that they are proportionate, then translating one of the triangles to make sure the included angles are equal.

looking at them and just assuming

translating the triangle to prove that each vertex has a matching congruent angle in each triangle

finding the lengths of two sides and making sure they are proportionate

finding the lengths of all the sides of each triangle and making sure they are proportionate

Answer 1

Here are the matches for the similarity theorem proofs:

1. I can prove the pictured triangles are similar using SSS~ by
   finding the lengths of all the sides of each triangle and making sure they are proportionate.

2. I can prove the pictured triangles are similar using SAS~ by
   finding the lengths of two sides in each triangle and checking that they are proportionate, then translating one of the triangles to make sure the included angles are equal.

3. I can prove the pictured triangles are similar using AA~ by
   translating the triangle to prove that each vertex has a matching congruent angle in each triangle.