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Proving Similarity Two triangles are similar if you can prove one of the following: The ratios of the sides are proportional 2. Two angles in one triangle are congruent to 2 angles in another triangle (AA) 1. Proving Congruence To prove two triangles are congruent to each other you need to show one of the following: 1. Side-Side-Side 2. Side-Angle-Side 3. Hypotenuse-Leg 4. Angle-Side-Angle 5. Angle-Angle-Side Corresponding parts of congruent triangles are congruent (CPCTC) If you have proven two triangles are congruent, then you may say that any corresponding part of those triangles are congruent even if it is not given.