Congruent Triangles

Essential Question:

What methods and criteria can we use to prove that two triangles are congruent, and how do these congruence proofs help us establish the equality of their corresponding parts?

Portrait of a Graduate:

Critical Thinking: Apply logical reasoning to prove geometric statements about triangle congruence.

Communication: Clearly articulate the process and reasoning behind triangle congruence proofs.

Adaptive Perseverance: Persist in solving complex geometric proofs and applying these concepts to real-life scenarios.

Inquiry Question:

What are the key criteria (SSS, SAS, ASA, AAS, HL) for triangle congruence, and how are they applied in proofs?

2. Inquiry Question:

How can we use congruence statements to justify the equality of corresponding parts of triangles?

3. Inquiry Question:

In what real-world situations does proving the congruence of triangles play a crucial role?

Student Outcomes:

Students will identify and apply the correct criteria for triangle congruence in geometric proofs.

2. Student Outcomes:

Students will demonstrate the ability to write congruence statements and use them to prove the equality of corresponding parts of triangles.

3. Student Outcomes:

Students will connect the concept of triangle congruence to solving real-world problems, such as in construction and navigation.

Skills Demonstrated:

Students are able to convert quantitative problems that use words into mathematical expressions.

Standards:

CCSS.MATH.CONTENT.HSG.CO.B.8: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

CCSS.MATH.CONTENT.HSG.SRT.B.5: Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Resources:

[Our Hidden Google Drive Resource link]

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