Download Goals: · Identify and apply the incenter, orthocenter, circumcenter

Goals:
· Identify and apply the incenter, orthocenter, circumcenter,
and centroid of a triangle
· Apply the definitions of angle bisector, perpendicular
bisector, medians and altitudes of a triangle
Concurrent - when three or more lines have a point in
____________.
Point of Concurrency - the point of ______________ of
concurrent lines.
A
F
B
G
E
D
C
Median - segment from a _____________ to the
_____________ of the opposite side.
Altitude - a ________________ segment from a vertex to the
opposite side or the line containing the opposite side.
Equidistant -
Perpendicular Bisector - a segment that
intersects another segment at it's
_____________ and is also _____________.
*any point on the perp. bisector is equidistant to
the endpoints of the segment that was bisected.
Angle Bisector - a ray that cuts an angle
into two ____________, ____________
angles.
* any point on the angle bisector is
equidistant to the sides of the
angle that was bisected.
Circumcenter - where the three ________________________ of a triangle intersect
- ________________ from the three ____________ of the triangle.
- center of the circle that is circumscribed around the triangle.
Incenter - where the three ________________________ of a triangle intersect
- ________________ from the three ____________ of the triangle.
- center of the circle that is inscribed in the triangle.
Centroid - where the three ________________________ of a triangle intersect
- centroid is _____________ of distance from the vertex to the midpoint of
the opposite side.
- _______________ point of a triangle.
Orthocenter - where the three ________________________ of a triangle intersect