geometry unit 3

define perpendicular bisectors

segment, line, or ray that is perpendicular to the side at its midpoint

whats the point of concurrency for perpendicular bisectors & where is it found

circumcenter, in-acute. on-right. out-obtuse.

whats the concurrency thm. for perpendicular bisectors

equidistant to verticies

define angle bisectors

segment, line, or ray that divides an angle into 2 congruent peices

whats the point of concurrency for angle bisectors & where is it found

incenter, inside triangle

whats the concurrency thm. for angle bisectors

equidistant to sides

define altitudes

perpendicular segment from a vertex to the opposite side

whats the point of concurrency for altitudes & where is it found

orthocenter, in-acute. on-right. out-obtuse.

define medians

segment whose endpoints are a vertex and the midpoint of the opposite side

whats the point of concurrency for medians & where is it found

centroid, inside triangle

whats the concurrency thm. for medians

2/3 distance from vertex to midpoint

define concurrent lines/rays/segments

3 (or more) segments/lines/rays that intersect in the same point (point of concurrency)