# Another Special Theorem: Part 1 (V2)

- Author:
- Tim Brzezinski

- Topic:
- Angles

Interact with the applet below for a few minutes. Then, answer the questions that follow.
Be sure to change the locations of the

**BLUE POINT**and WHITE POINT(S) each time before you re-slide the slider. Be sure to adjust the**pink slider**as well!**Questions:**1) What is the measure of each

**gray angle**? How do you know this? 2) What can you conclude about the

**distances**from the

**blue point**to each

**side**of the angle? How do you know this? 3) What can you conclude about the location of the

**blue point**with respect to the original (larger) angle? Explain how you know this. 4) Use your observation to fill in the blanks to make a true statement: If a

**point**is

**_____________________**from the

**sides**of an angle, then

**that point**lies on the

**_______________**of that angle. 5) Write a 2-column or paragraph proof that proves the statement in (4) true.