Use congruence and similarity to solve

What you'll learn

1. Select appropriate congruence criteria (ASA, SAS, SSS, AAS) to prove triangles congruent in multi-step problems
2. Select appropriate similarity criteria (AA, SAS similarity, SSS similarity) to prove triangles similar in multi-step problems
3. Use triangle congruence to prove relationships in geometric figures such as properties of quadrilaterals, medians, and angle bisectors
4. Use triangle similarity to solve problems involving indirect measurement, proportional relationships, and geometric means
5. Combine congruence and similarity criteria strategically to solve complex geometric problems
6. Justify each step in a geometric proof using previously established theorems and definitions

Prerequisites

• Prove theorems using similarity