Geometry Terms - chapter 5 Flashcards
altitude of a triangle
a perpendicular segment from a vertex to the line containing the opposite side
centroid of a triangle
the point of concurrency of the three medians of a triangle (center of gravity)
circumcenter of a triangle
the point of concurrency of the three perpendicular bisectors of a triangle
circumscribed
a circumscribed circle intersects the polygon at every vertex and a circumscribed polygon has each side tangent to the circle
concurrent
three or more lines that intersect at one point
equidistant
the same distance from two or more objects
incenter of a triangle
the point of concurrency of the three angle bisectors of a triangle
indirect proof
a proof in which the statement to be proved is assumed to be false and a contradiction is shown
inscribed
an inscribed circle is tangent to the polygon at each of its sides and an inscribed polygon has every vertex on the circle
locus
a set of points that satisfies a given condition
median of a triangle
a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side
midsegment of a triangle
a segment that joins the midpoints of two sides of a triangle
orthocenter of a triangle
the point of concurrency of the three altitudes of a triangle
point of concurrency
a point where three or more lines coincide
Pythagorean triple
a set of three nonzero whole numbers a, b, and c such that a^2 + b^2 = c^2