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Lesson Plan: Congruence of Triangles: ASA and AAS Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to prove that two triangles are congruent using either the angle-side-angle (ASA) or the angle-angle-side (AAS) criterion.
Objectives
Students will be able to
- recognize whether two given triangles are congruent,
- recognize that ASA and AAS are conditions of congruency but that SSA is not,
- recognize whether ASA or AAS can be used to prove that two given triangles are congruent,
- solve a word problem or a more complex geometric problem using ASA or AAS.
Prerequisites
Students should already be familiar with
- common types of triangles and polygons,
- the concepts of congruence and similarity,
- reflections, rotations, and translations,
- angle facts.
Exclusions
Students will not cover
- SSS, SAS, or RHS,
- applying trigonometric formulas.
