IST: Quick Discovery (Revamped)

What can we conclude about and in the app below? Explain why you know this to be true.

Given your response, how would you classify this triangle by its sides? Why?

Slide the slider slowly all the way to to the right. Then, move the vertex (corner) of one angle on top of the vertex (corner) of the other angle. Use the other large points to spin these angles around. What do you notice? What do you wonder?

Move point A and point B around and change the size of the circle. Does/do your observation(s) above still seem to hold true?