# Thale's Theorem 3

- Author:
- Ken Garrabrant

Objective: I will be able to show and explain the relationship between each of the inscribed angles in the circle below and the type of triangles created.

1. Name and find the measure of the intercepted arcs for each of the inscribed angles <E, <F, <G, <H, and <I. Explain how you know the measure of the intercepted arcs.
2. Compare the measures of each of the intercepted arcs and describe how they define the inscribed angles associated with them.
3. What relationship can be drawn between each of the angles <E, <F, <G, <H, and <I? Explain your answer.
4. Drag Point C around to several places on the circle. Does this change the relationships among the angles? Explain.
5. Explain how to classify the inscribed triangles formed in the circle above.
6. Write a summary of the activity and what can be learned from it.