Unpacked Content
Knowledge
Students know:
- Criteria for congruent (SAS, ASA, AAS, SSS) and similar (AA) triangles and transformation criteria.
- Techniques to apply criteria of congruent and similar triangles for solving a contextual problem.
- Techniques for applying rigid motions and dilations to solve congruence and similarity problems in real-world contexts.
Skills
Students are able to:
- Accurately solve a contextual problem by applying the criteria of congruent and similar triangles.
- Provide justification for the solution process.
- Analyze the solutions of others and explain why their solutions are valid or invalid.
- Justify relationships in geometric figures through the use of congruent and similar triangles.
Understanding
Students understand that:
- Congruence and similarity criteria for triangles may be used to find solutions of contextual problems.
- Relationships in geometric figures may be proven through the use of congruent and similar triangles.
Vocabulary
- Congruence and similarity criteria for triangles
