Congruent Triangles
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Lesson Summary:
The Congruent Triangles lesson explores how to identify if two triangles are identical or congruent. Congruent triangles have the same angle and side measurements, and their corresponding parts are congruent. To write the triangle's concurrency statement, use the triangle symbol and ensure that the order corresponds to the order of the triangles. Corresponding parts of congruent triangles are congruent, a principle abbreviated as CPCCC, which is used in geometry.
Lesson Description:
Learn how to determine if two triangles are congruent.
Additional Resources:
- Congruent Triangles - Three sides equal (SSS) - What Side Side Side congruence of a triangle means.
- Congruent Triangles - Two angles and included side (ASA) - What Angle Side Angle congruence of a triangle means.
- Congruent Triangles - Two sides and included angle (SAS) - What Side Angle Side congruence of a triangle means.
- Congruent Triangles - Two angles and an opposite side (AAS) - What Angle Angle Side congruence of a triangle means.
- CPCTC - A definition of CPCTC and what it means for triangles.
Questions answered by this video:
- What are congruent triangles?
- How can you tell if two triangles are congruent?
- What has to be true for two triangles to be congruent?
- What does CPCTC mean in Geometry?
- Given a triangle congruence statement, how can you determine which angles and sides are corresponding and congruent?
- How do you write 3 congruence statements for sides of congruent triangles?
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Staff Review
This lesson shows clearly how to determine if two triangles are congruent, what to look for in congruent triangles, and how to write triangle, side, and angle congruence statements.
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