Shared Flashcard Set

Details

Geometry
Quiz 5.1-5.3
14
Mathematics
01/11/2011

Term
 triangle midsegment theorem
Definition
 if a segment joins the midpoints of 2 sides of a triangle, then the segment is parallel to the 3rd side, and is 1/2 it's length.
Term
 perpendicular bisect theorem
Definition
 if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment
Term
 converse of the perpendicular bisect theorem
Definition
 if a point is equidistant from the endpoints of a segment then it is on the perpendicular bisector of the segment.
Term
 angle bisector theorem
Definition
 if a point lies on the bisector of an angle, then the point is equidistant from the sides of the angle.
Term
 5-6
Definition
 The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from ther vertices
Term
 5-7
Definition
 The bisectors of the sides of a triangle are congruent at a point equidistant from the sides.
Term
 median
Definition
 a segment whose endpoints are a vertex of a traingle and a midpoint of the side opposite that vertex.
Term
 altitude of a triangle
Definition
 has 1 endpoint at a vertex of a triangle and the other on the line htat contains the side opposite that vetex so that the segment is perpendicular to this line.
Term
 every triangle has
Definition
 3 angles3 angle bisectors 3 altitudes
Term
 a segment is an angle bisector if and only if
Definition
 it lies in the ray which bisets an angle of the triangleits endpoints are the vertex of this angle and a point on the opposite side of that vertex
Term
 circumcenter
Definition
 the intersection of the perpendicular bisectors of a triangle
Term
 concurrent
Definition
 3 or more lines that intersect in a single point
Term
 incenter
Definition
 the intersection of the angle bisectors of a triangle it is the center of an inscribed circle. is equidistant from the sides of the triangle
Term
 centroid
Definition
 the point of concurrency of the medians of a triangle. it is also called the "center of gravity. " it is 2/3 of the distance from the vertex to the midpoint of the opposite side.
Supporting users have an ad free experience!