BEFORE using the **Show/Hide** buttons, try to answer the following questions. Then, use the applet to prove (or disprove) your conjectures.

- Where can point C occur so that ABC is a right triangle?
- Where can point C occur so that ABC is an isosceles triangle?
- Are you sure you've found all of the answers to the two questions above? How are you sure?

After using the **Show/Hide** buttons (the paths should remain on the screen), answer the following question.

- What type of triangle occurs at the intersection of two paths?