Circumcenter
This point is where the perpendicular bisectors of a triangle meet.
What is the circumcenter?
The incenter is the intersection of these lines.
What are angle bisectors?
The centroid is the intersection of these segments.
What are medians?
The orthocenter is where these lines intersect.
What are altitudes?
This center uses perpendicular bisectors and relates to circles around a triangle.
What is the circumcenter?
The circumcenter is equidistant from these parts of the triangle.
What are the vertices?
The incenter is always located in this region of a triangle.
What is inside the triangle?
A median connects a vertex to this part of the triangle.
What is the midpoint of the opposite side?
An altitude is a segment drawn from a vertex and perpendicular to this.
What is the opposite side?
This center is always inside and uses angle bisectors.
What is the incenter?
This type of triangle has its circumcenter outside the triangle.
What is an obtuse triangle?
The incenter is equidistant from these parts of the triangle.
What are the sides?
The centroid divides each median in this ratio.
What is 2:1?
The orthocenter lies outside the triangle in this type of triangle.
What is an obtuse triangle?
This center divides medians in a 2:1 ratio.
What is the centroid?
The circle formed using the circumcenter is called this.
What is the circumcircle?
The circle formed from the incenter is called this.
What is the incircle?
The centroid is also known as this “balance point.”
What is the center of mass?
In a right triangle, the orthocenter is located here.
What is the vertex of the right angle?
This center is formed by altitudes.
What is the orthocenter?
In a right triangle, the circumcenter is located here.
What is the midpoint of the hypotenuse?
This is the radius of the incircle.
What is the perpendicular distance from the incenter to a side?
The longer segment of the median is located between these two points.
What are the vertex and the centroid?
In an acute triangle, the orthocenter is located here.
What is inside the triangle?
Name all four triangle centers.
What are circumcenter, incenter, centroid, and orthocenter?