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Equidistant
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The same distance from two or more objects.
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Locus
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Is a set of points that satisfies a given condition.
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Concurrent
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Three or more lines that intersect at one point.
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Point of Concurrency
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Is the point where they intersect.
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Circumcenter of a Triangle
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The point of concurrency of the three perpendicular bisectors of a triangle.
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Circumscribed
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A circle that contains all the vertices of a polygon is circumscribed about polygon.
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Incenter of a triangle
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The angle bisectors of a triangle are also concurrent.
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Inscribed
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In a polygon intersects each line that contains a side of the polygon at exactly one point.
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Median of a triangle
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Is a segment whose endpoints are vertex of the triangle and the midpoint of the opposite side.
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Centroid of the triangle
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The point of concurrency of the medians of a triangle is the centroid of the triangle.
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Altitude of a triangle
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Is a perpendicular segment from a vertex to the line containing to the opposite side.
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Orthocenter of the triangle
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The point of concurrency of the three altitudes of a triangle.
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Midsegment of a triangle
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Is a segment that joins the midpoints of two sides of the triangle.
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Indirect Proof
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A proof in which the statement to be proved is assumed to be false and a contradiction is shown.
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Pythagorean Triple
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A set of three nonzero whole numbers a, b, and c such a2 + b2=c2.
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