Points of Concurrency Notes

Draw all three perpendicular bisectors. make sure to draw your perpendicular bisectors long enough that they all intersect.
[br]When three or more lines intersect at a single point, they are [b]concurrent[/b], and[br][br]the point of intersection is called the [b]point of concurrency[/b].
Here is why the point of concurrency is important with perpendicular bisectors. This point of concurrency is[br][br]called the [b]circumcenter[/b]. The [b]circumcenter[/b] [i]CAN[/i] be outside of the triangle.
Construct all of the angle bisectors in the triangle below.
The point of concurrency of the angle bisectors is called the [b]incenter[/b].
Construct all of the medians in the triangle below.
The point of concurrency of all medians is called the [b]centroid[/b]. [br][br]The [b]centroid [/b]is the center of gravity for a triangle.
Construct all of the altitudes in the triangle below.
The point of concurrency of the altitudes is called the [b]orthocenter[/b].

Information: Points of Concurrency Notes