MA19.GDA.34

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.34
Use congruence and similarity criteria for triangles to solve problems in real-world contexts.

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

Aligned Learning Resources

Can You Solve This Pier Puzzle? | Physics Girl

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