Special Points of Concurrency
A point where three or more lines intersect is called a point of ________________.
An _____________________ is a segment that cuts an angle in two equal parts. Create three
______________ on the triangle below.
This point of concurrency is called the __________________.
Name a special trait of this point of concurrency:
A _______________________ is a segment that creates a right angle and cuts another
segment in two equal parts. Create three ______________________ on the triangle below.
This point of concurrency is called the _________________.
Name a special trait of this point of concurrency:
A _____________________ is a segment in a triangle that starts at the midpoint of a segment
and goes to the opposite vertex of the triangle. Create three ______________________ on the
triangle below.
This point of concurrency is called the _________________.
Name a special trait of this point of concurrency:
An _______________________ is a segment that starts at a vertex, and is perpendicular to the
opposite side of the triangle. Create three __________________ on the triangle below.
This point of concurrency is called the _________________.
Name a special trait of this point of concurrency:
Special Points of Concurrency
A point where three or more lines intersect is called a point of ​concurrency​.
An ​angle bisector​ is a segment that cuts an angle in two equal parts. Create three ​angle
bisectors​ on the triangle below.
This point of concurrency is called the ​incenter​.
Name a special trait of this point of concurrency:
Always inside the triangle, Center of the incircle, Equidistant from all sides.
A ​perpendicular bisector ​is a segment that creates a right angle and cuts another segment in
two equal parts. Create three ​perpendicular bisectors​ on the triangle below.
This point of concurrency is called the ​circumcenter​.
Name a special trait of this point of concurrency:
On the midpoint of hypotenuse of a right triangle, Equidistant from all vertices, Center of an
outer circle.
A ​median​ is a segment in a triangle that starts at the midpoint of a segment and goes to the
opposite vertex of the triangle. Create three ​medians​ on the triangle below.
This point of concurrency is called the ​centroid​.
Name a special trait of this point of concurrency:
Always inside the triangle, Segments of median have a 2:1 ratio, Center of gravity for the
triangle.
An ​altitude​ is a segment that starts at a vertex, and is perpendicular to the opposite side of the
triangle. Create three ​altitudes​ on the triangle below.
This point of concurrency is called the ​orthocenter​.
Name a special trait of this point of concurrency:
Can be in (actute), on (right), or outside (obtuse) the triangle.