Perpendicular Bisectors
What is the name of the point of concurrency for perpendicular bisectors
Circumcenter
What is the name of the point of concurrency for angle bisectors
Incenter
What is the name of the point of concurrency for medians
Centroid
What is the name of the point of concurrency for altitudes.
Orthocenter
What is a segment that splits a larger angle into two congruent angles?
Angle Bisector
The circumcenter of a triangle is equidistant from the __________ of a triangle.
Vertices
The incenter of a triangle is equidistant from the ___________ of a triangle
sides
Triangle RST has median SK, and centroid J. Solve for SJ if SK has length 9. (Draw it out)
SJ=6
the altitude is also known as the ______ of a triangle (found in a=1/2 bh)
The Height
What is a segment that bisects the side of a triangle at 90o
Perpendicular Bisector
This theorem states that if point A is equidistant from the end points of a segment, then point A lies on the perpendicular bisector.
Converse of the perpendicular bisector theorem
Where is the incenter of a triangle located?
The interior
Triangle RST has median RM, and centroid J. Solve for JM if RM has length 6
JM = 2
Where can the orthocenter of a triangle be located?
Interior, Exterior, or on the triangle.
What is a segment from the vertex to the midpoint of the opposite side
Median
Where can the circumcenter of a triangle be located?
Inside, Outside, or on the triangle
If an angle bisector forms two angles with measures (2x+5)o and (3x)o , solve for X.
x=5
Triangle RST has median RM, and centroid J. Solve for X if RJ = x(RM)
x=2/3
Where is the orthocenter of a triangle with vertices (4,0), (0,4), and (0,0) located?
(0,0)
What is a perpendicular segment from a vertex to the opposite side of the triangle. (AKA the height of a triangle)
Altitude