Lesson Plan: Congruent Triangles Mathematics • First Year of Preparatory School
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 side-angle-side (SAS), the angle-side-angle (ASA), the side-side-side (SSS), or the right angle-hypotenuse-side (RHS) criterion and determine whether angle-side-side is a valid criterion for triangle congruence or not.
Objectives
Students will be able to
- prove that two triangles are congruent when
- two sides and the included angle are equal (),
- two angles and the included side are equal (),
- their three sides are equal (),
- they have a right angle, and the hypotenuse and one other side are equal (),
- understand why is not a valid condition of congruence.
Prerequisites
Students should already be familiar with
- congruent polygons.
Exclusions
Students will not cover
- angle-angle-side () criterion for congruence,
- similarity.
