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Chapter 5 Definitions

Terms in this set (15)

equidistant
The same distance from two or more objects.
locus
A set of points that satisfies a given condition.
concurrent
Three or more lines that intersect at one point.
point of concurrency
A point where three or more lines coincide.
circumcenter of a triangle
The point of concurrency of the three perpendicular bisectors of a triangle.
circumscribed circle
Every vertex of the polygon lies on the circle.
incenter of a triangle
The point of concurrency of the three angle bisectors of a triangle.
inscribed circle
A circle in which each side of the polygon is tangent to the circle.
median of a triangle
A segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.
centroid of a triangle
The point of concurrency of the three medians of a triangle. Also known as the center of gravity.
altitude of a triangle
A perpendicular segment from a vertex to the line containing the opposite side.
orthocenter of a triangle
The point of concurrency of all three altitudes of a triangle.
midsegment of a triangle
A segment that joins the midpoints of two sides of the triangle.
indirect proof
A proof in which the statement to be proved is assumed to be false and a contradiction is shown.
Pythagorean triple
A set of three nonzero whole numbers a, b, and c such that a² + b² = c².
THIS SET IS OFTEN IN FOLDERS WITH...