Experiment with segment lengths and angle measures.
- Students will identify the conditions necessary to determine a unique triangle when given two sides and a non-included angle (SSA).
- Students will justify why SSA is not sufficient to establish congruence of two triangles.
- Side-Angle-Side Congruence Theorem
- Angle-Angle-Side Congruence Theorem
About the Lesson
This lesson involves manipulating the length of a side of a triangle and the non-included angle to identify the conditions that are necessary to determine a unique triangle. As a result students will:
- Be given two sides and the non-included angle, and they will change the size of the given angle to determine the conditions necessary to determine a triangle.
- Conclude that uniqueness is a necessary condition for the congruence of two triangles.