Angle-Angle (AA) Similarity Theorem: Quick Investigation

Interact with this app for a few minutes. You can move the colored sliders (lower left) to change the sizes of the colored angles. The LARGE POINTS (vertices) of these triangles are also moveable.

In the app above, what do you notice? What do you wonder?

Make a conjecture about the two triangles you see above.

Interact with this app for a few minutes. You can move the colored sliders (lower left) to change the sizes of the colored angles. The LARGE POINTS (vertices) of these triangles are also moveable.

Suppose two angles of one triangle are congruent to two angles of another triangle. What can we conclude about these two triangles? Why can we conclude this?