1. Triangle Centers • What are they? • Where are they? • How are they found?

2. Triangle Centers Points of Concurrency • Whatis this all about? A Point of Concurrency is a point of intersection of 2 or more lines. The lines that form a point concurrency are called concurrentlines.

3. The Points are… • Incenter • Circumcenter • Orthocenter • Centroid • Though there are many other points of concurrency, which we will see later, we will concentrate on these four today.

4. Incenter • Point of concurrency formed by the intersection of the three bisectors of a triangle Incenter

5. CIRCUMCENTER • Point of concurrency formed by the intersection of three perpendicular bisectors of the sides of a triangle Circumcenter

6. ORTHOCENTER • Point of concurrency formed by the intersection of the three altitudes of a triangle Orthocenter

7. Centroid • Point of concurrency formed by the intersection of the three medians of a triangle Centroid

8. Oh yeah, in case you are wondering, here are some other more recent pts. of concurrency. • Fermat Point • Nine-Point Center • Symmedian Point • Nagel Point • Napolean Point • Schiffler Point • Exeter Point • Apollonious Point • Parry Point • And the list could go on and on and on…..

9. The Points are… angle bisectors • Incenter • Circumcenter • Orthocenter • Centroid perpendicular bisectors altitudes medians