Is this enough to show the two triangles are congruent? Small groups work through different combinations of constructing triangles from congruent parts to determine which combinations create only congruent triangles. Participants use the discovered congruences to develop two-column proofs related to congruent triangles.

Concepts

congruent triangles, geometric proofs, proofs, two-column proofs, angle angle side theorem, congruent angles, congruence, congruent figures, postulates, theorems

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Additional Tags

math

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Instructional Ideas

• Provide several opportunities to practice developing proofs
• Lead a discussion about what it takes to show triangles are congruent

Classroom Considerations

• Pupils should be familiar with the concept of proofs

Pros

• Includes an instructor reference for the first activity page
• Contains differentiation suggestions

Cons

• None

Common Core

HSG-CO.B.8 MP3 MP5