The circumcenter is equidistant from the ___________
Vertices of the triangle
100
The incenter is equidistant from the
Sides of a triangle
100
The median of a triangle is drawn from a vertex to what
Midpoint of opposite side
100
The name of the segments that create the orthocenter are
altitudes
100
What is the segment called that connects two midpoints of a triangle
200
This is the name of segments that create the circumcenter
The perpendicular bisectors
200
The name of the segments that create the incenter are the
Angle Bisectors
200
The centroid is located how far along each median
2/3
200
The segments that create the orthocenter are perpendicular to a side and pass through what
The opposite vertex
200
What type of triangle has all found centers lying in the same spot
Equilateral or equiangular
300
The circumcenter sometimes/always/never lies outside the triangle
sometimes
300
The incenter sometimes/always/never lies outside the triangle
Never
300
The centroid sometimes/always/never lies outside the triangle
never
300
The orthocenter sometimes/always/never lies outside the triangle
sometimes
300
How many triangles can you draw given just the coordinates of the midpoints of the sides? Assume the midpoints are not colinear.
exactly 1
400
This type of triangle has the circumcenter lying on one of its sides
A right triangle
400
The segments that create the incenter divide the triangle into six equal area triangles. True or False
False
400
What special property does the centroid have that deals with mass?
Center of balance
400
The segments used to create the orthocenter sometimes/always/never lie outside the triangle
sometimes
400
The Fermat point is another center of a triangle. It minimizes the sum of the distances to each vertex. What special angle relationship does it create?
makes six 60 degree angles, or three 120 degree angles
500
What does it mean for a circle to 'circumscribe' a triangle
pass through all three vertices
500
If a segments touches a circle at exactly one point, the segments is _________ to the circle
tangent
500
The segments that create the centroid divide the triangle into six equal area triangles. True or False
True
500
Where does the orthocenter lie on a right triangle?
Vertex opposite the hypotenuse
500
The Circumercenter, centroid, and orthocenter are colinear. What is this line called?