Circumcenter, Orthocenter, Incenter, Centroid EOC Review
Terms in this set (35)
The medians of a triangle are __________
The ________ of a triangle are concurrent.
The medians of a ___________ are concurrent
The point of concurrency, called the _______, cuts the median into two segments that have lengths with a fixed 2:1 ratio.
The point of concurrency, called the centroid, does what?
Cuts the median into two segments that have lengths with a fixed 2:1 ratio.
The centroid is ______from the vertex.
The centroid is ______from the midpoint.
The _______ is 2/3 from the vertex, 1/3 from the midpoint.
Median of a triangle
A segment whose endpoints are the midpoint of one side of a triangle and the opposite vertex.
the point of concurrency of the medians of a triangle.
How many medians are in each triangle?
3- one median to correspond to each side.
For every type of triangle (scalene, obtuse, acute, right, etc...) the three medians in a triangle will
intersect at exactly 1 point
The medians of a triangle are:
The point of concurrency of the medians of a trianlge
Unlike the circumcenter and the incenter, the centroid is______________
NOT the center of a mysterious circle.
With a median, you don't have to have ____________
Instead of perpendicularity in a median, you have __________
Where must the centroid always be located regardless of acute, right or obtuse?
Inside the triangle
What kind of triangle would have perpendicularity with the medians?
The centroid is the first and only ____________
point of concurrency for triangles that fixes a ratio of lengths.
The ________ is the first and only point of concurrency for triangles that fixes a ratio of lengths.
Circumcenter is the point of concurrency for
Incenter is the point of concurrency for
Orthocenter is the point of concurrency for
Centroid is point of concurrency for
perpendicular slope, midpoint
perpendicular slope, opposite vertex
midpoint, opposite vertex
Where is the circumcenter in a right triangle?
Midpoint of hypotenuse
Where is the incenter in a triangle?
Where is the orthocenter of an acute triangle?
Where is the orthocenter of a right triangle?
On the vertex of right angle
Where is the orthocenter of an obtuse triangle?
Where is the centroid in a triangle?
Concurrency deals with
coplanar lines intersecting at exactly one point.