# Shared Flashcard Set

## Details

Geometry: Special Segments of Triangles
Terms commonly associated with midsegments, perpendicular bisectors, angle bisectors, medians, and altitudes.
15
Mathematics
10/17/2010

Term
 Midsegment
Definition
 A segment with endpoints at the midpoints of two sides of a triangle.
Term
 Parallel
Definition
 A midsegment is always ________ to the side of the triangle that it does NOT intersect.
Term
 Half
Definition
 A midsegment's length is always _______ of the length of the side of the triangle it does not intersect.
Term
 Four
Definition
 Drawing three midsegments into a triangle creates ________ congruent triangles because of the SSS postulate.
Term
 Perpendicular Bisector
Definition
 A segment that has one endpoint that is the midpoint of a triangle's side; the segment and side form a 90-degree angle at this point.
Term
 Equidistant
Definition
 Any point on a perpendicular bisector is ___________ from the endpoints of the side to which it is perpendicular.
Term
 Circumcenter
Definition
 The point where the three perpendicular bisectors meet; it is the center of a circle that touches all of the triangle's vertices.
Term
 Angle Bisector
Definition
 A segment that has one endpoint at a triangle's vertex and cuts the angle at this vertex exactly in half.
Term
 Equidistant
Definition
 Any point on an angle bisector is ___________ from the sides of the angle it bisects.
Term
 Incenter
Definition
 The point where the three angle bisectors meet; it is the center of a circle that is tangent (just barely touches) all of the triangle's sides.
Term
 Median
Definition
 A segment that has one endpoint at a triangle's vertex and the other endpoint at the midpoint of that vertex's opposite side.
Term
 Centroid
Definition
 The point where the three medians meet; it is the balance point of the triangle.
Term
 Two-Thirds
Definition
 The distance from any vertex of a triangle to the centroid is ___-_______ (fraction) of the total length of the median.
Term
 Altitude
Definition
 A segment that has one endpoint at the vertex of a triangle. The segment extends to the vertex's opposite side and intersects it at a 90-degree angle. It represents the height of a triangle.
Term
 Orthocenter
Definition
 The point where the three altitudes meet.
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