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# Chapter 5 spencer

### spencer siers

locus is a set of points that points that satisfies am given condition
concurrent when three or more lines intersect at one point
point of concurrency the point where they intersect
circrumcenter of the triangle the three perpendicular bisectors of a triangle are concurrent
circumscribed a circle that contains all vertical angles of a polygon
incenter of a triangle a triangle has 3 sides,its has 3 bisectors,so the angle bisectors of a triangle are concurrent
median of a triangle is a segment whose endpoint are a vertex of the triangle and the midpoint of the opposite sides
centroid of a triangle the point of concurrency of the medians
altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side
midsegment of a triangle is a segment that joins the midpoints of two sides of the triangle
indirect proof when you begin assuming the proof is wrong
angle bisector theorem if a point is on the bisector of an angle,then it is equidistant from the sides of the angle
converse of the angle if a point in the interior of an angle is equidistant from the sides of the angle
perpendicular bisector angles theorem if a point is on the perpendicular bisector of a segment then it is equidistant from the endpoints of the segment
converse of the perpendicular bisector theorem if a point is equidistant from the endpoints of a segment then it is on the perpendicular bisector of the segment
Created by: bhsgeometry