5.12.10
Answer these questions (typed). Be thorough and clear. Use illustrations as needed. If you’d like an extra challenge (or a 4) try the bonus.
- Is the incenter the best strategy for game 1 (racing to the sides)? Why or why not? Explain what you think is the best strategy.
- Is the circumcenter the best strategy for game 2 (racing to the vertices)? Why or why not? Explain what you think is the best strategy.
- Is there ever a time when the orthocenter is the best place to stand for game 2? When?
Bonus: Is there ever a situation when the best place to stand for games 1 and 2 are the same? Explain.