Practice with Similarity Proofs Topic Index | Geometry Index | Regents Exam Prep Center

Answer the following questions dealing with similar triangles.

 1. Is triangle ABC similar to triangle ADE? Choose: YES   NO Explanation By overlapping, the triangles are sharing angle A. In addition they each have a 120 degree angle. The triangles are similar by AA.

 2. As marked, by which method would it be possible to prove these triangles similar (if possible)? Choose: AA   SSS SAS  not similar Explanation All three sets of corresponding sides are in proportion. The method is SSS.

 3. As marked, by which method would it be possible to prove these triangles similar (if possible)? Choose: AA   SSS SAS  not similar Explanation The diagram illustrates SAS. The corresponding sides are in proportion and the included angles are congruent.

 4. As marked, by which method would it be possible to prove these triangles similar (if possible)? Choose: AA   SSS SAS  not similar Explanation The triangles are similar by AA. The missing angle in the larger triangle is 40 degrees. The missing angle in the smaller triangle is 100 degrees.

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 8. Prove:  Two isosceles triangles are similar if the vertex angle of one triangle is congruent to the vertex angle of the other triangle.

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