Title: Assignment: (Task) AA
Course: HBUHSD Geometry Resource Course

Description: This task works toward establishing the AA criterion for similarity of triangles by providing a detailed sequence of transformations that moves one of the given triangles to the other. In general, a reflection may be necessary to illustrate AA for a pair of triangles, though this is unnecessary for the given triangles (they have the same "orientation"). The AA criterion for triangle similarity is important in the same way the ASA, SAS, and SSS criteria for triangle congruence are important. Producing an explicit series of transformations exhibiting a similarity can be difficult so when we have knowledge about the angles in triangles this is a very convenient tool to develop here after a solid transformational understanding of similarity if achieved.

Teacher Directions: Facilitate the students working on their papers, answering questions if needed, guiding them to their conclusions, if needed.

Student Directions: Students will need to reason abstractly about the transformations before they quantify them more precisely. Students could also do this activity in pairs and critique the reasoning of their partner as they work on this task.

Establish AA Criterion.pdf