Congruent Triangles

This is one lesson in a larger Unit Plan that introduces triangular relationships through the lens of building a treehouse with a variety of triangular characteristics.  It has proofs, real world problems, constructions, a unit project, assessments, and more. In Lesson 18, “Congruent Triangles",  students investigate the conditions that make triangles congruent including SSS, AAA, SAS, ASA, AAS, and SSA. There are two patty paper investigations, a video resource, and real world problems. The entire unit plan can be found here. This lesson plan has an investigation into SSS, SAS, ASA, AAS, HL and CPCTC with patty paper. There are also practice worksheets and a series of real world problems. Grouping could be used to help with differentiation. The teacher section suggests numerous visual sources including a video.

Standards & Objectives

Essential and guiding questions: 

How are congruent triangles and similar triangles the same and different?

How are congruence relationships useful in everyday life?

Lesson Variations

Blooms taxonomy level: