Exploring Triangle Centers - Introduction

Working in a group of 4, complete the following exploration. Each person should be on a computing device. a. Decide who will explore each of the following segments or lines: median, altitude, angle bisector, and perpendicular bisector of a side. b. Construct all 3 of the segments you were assigned. (for example, 3 altitudes) c. Find the point of intersection of your 3 segments or lines.
d. Think about what it means to be a center. How can you demonstrate that in GeoGebra? Try it. e. Compare your points of intersection. Is one of them the "best" center? Defend your answer.