Triangle Similarity

1. Angle-Angle Postulate

1.1. 2 angles one triangle congruent to 2 angles of another triangle

1.1.1. 2 angle congruent

1.1.1.1. AA~

2. Side-Side-Side Similarity

2.1. All three sides of one triangle are proportional to the three sides of another triangle

2.1.1. All 3 sides proportional

2.1.1.1. SSS~

3. Side-Angle-Side Similarity

3.1. One angle of a triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar.

3.1.1. Congruent angle sandwiched by two sides proportionate to other two sides

3.1.1.1. SAS~