Special Segments and Concurrency Flashcards
Deine the Median
A segment that joins a vertex of a triangle with the midpint of the opposite side. (midpoint to the endpoint.)
Define the Centroid
The intersection of the three medians of a triangle. Located 2/3 of the distance from the vertex to the midpoint.
What is the altitude
A segment from a vertex of the triangle perpendicular to a line containing the opposite side. May be outside the triangle. Remember: Creates a triangle, and is the height).
In terms of altitude, describe an obtuse triangle:
It has 2 points outside the triangle.
What is the orthocenter
The intersection of the three altitude of a triangle
Define Angle Bisector
A segment that bisects the vertex angle of a triangle. Divide the angle in half
Incenter Definition
The intersection of the three angle bisectors. The incenter is the center of an inscribed circle in the triangle.
Define Perpendicular Bisector
A segment that passes through the midpoint of a side and is perpendicular to that side.
Define Circumcenter
The intersection of the three perpendicular bisector of a triangle. The circumcenter is the center of a circle that cirumscribes the triangle.
What is the rule of the Vertex Angle?
It is not congruent with other angles.
What is the point of concurrency for an angle bisector?
Incenter
What is the point of concurrency for the Medians of a triangle?
Centroid
What is the point of concurrency for the altitudes of a triangle?
Orthocenter
What is the point of concurrency for the Perpendicular bisectors of a triangle?
Circumcenter
How do you order the angles of a triangle given the side lengths?
If one side of the triangle is larger than the other, then the angle opposite is greater.
