Chapters 6.1- 6.3 Vocabulary

when a point is the same distance from each figure

• midpoint

• centroid

• equidistant

• incenter

when three or more lines, rays, or segments intersect at the same point

• concurrent

• orthocenter

• median of a triangle

• circumcenter

the point of intersection

• concurrent

• incenter

• centroid

• point of concurrency

the point of concurrency where the three perpendicular bisectors of a triangle meet

• equidistant

• orthocenter

• circumcenter

• incenter

the point of concurrency of the angle bisectors of a triangle

• incenter

• orthocenter

• circumcenter

• altitude of a triangle

a segment from a vertex to the midpoint of the opposite side

• altitude of a triangle

• centroid

• equidistant

• median of a triangle

the point of concurrency inside a triangle

• incenter
• orthocenter
• centroid
• circumcenter

the perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side

• equidistant

• orthocenter

• Altitude of a triangle

• Median of a triangle

point of concurrency of the lines containing the altitudes of a triangle

• Incenter
• Orthocenter
• Circumcenter
• Centroid

In a plane, if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment

• Perpendicular Bisector Theorem

• Angle Bisector Theorem

• Converse of the Perp. Bisector THM

• Incenter Theorem