Please enable JavaScript.
Coggle requires JavaScript to display documents.
Special Segments in Triangles - Coggle Diagram
Special Segments in Triangles
Angle Bisectors
Cut an angle in half.
Angle Bisector Theorem
If a point is on the angle bisector, then it is equidistant from the two sides of that angle.
Concurrency of Angle Bisectors
Incenter
Inscribed Circle
Perpendicular Bisectors
Equidistant is when a point is an equal distance away from another point.
Perpendicular Bisector Theorem
In a plane, if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment
Concurrency of the Perpendicular Bisector Theorem
Circumcenter
Circumscribed Circle
Definition of Perpendicular Bisectors
Medians
A median is a segment from the vertex to the midpoint of the opposite side of the triangle.
A centroid is the point of concurrency where three medians of a triangle intersect one another
Balancing point of the triangle.
Altitudes
An altitude of a triangle is the perpendicular segment from a vertex to the opposite side or to the line that contains that opposite side
Orthocenter
Midsegments
Definition of the Midsegment Theorem
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.
Every triangle has 3 midsegments
Connect the midpoints of a triangle together.
