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

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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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