Unit 2, Lesson 7
Angle-Side-Angle Triangle Congruence
Integrated Math 1
Preparation
Lesson Narrative
In this lesson, students are asked to come up with most of the language for a proof of the Angle-Side-Angle Triangle Congruence Theorem (MP3). They are explicitly encouraged to use previous work and refer to the template as scaffolding.
Students are again given the opportunity to apply the theorem, proving opposite sides of parallelograms are congruent. In their proof, students use the definition of a parallelogram: A parallelogram is a quadrilateral with parallel opposite sides. There is an optional activity that serves to remind students that alternate interior angles formed by parallel lines and a transversal are congruent before they attempt a proof applying the idea.
One of the activities in this lesson works best when each student has access to internet-enabled devices because students will benefit from seeing the relationship in a dynamic way.
- Justify (in writing) the Angle-Side-Angle Triangle Congruence Theorem.
- Prove (in writing) opposite sides of a parallelogram are congruent.