Lesson 1.5: Special Points in Triangles flashcards

Terms	Definitions
Inscribed Circle	A circle that is inside a triangle and is tangent to its sides.
Circumscribed Circle	A circle that goes around a triangle and passes through its vertices.
Concurrent Lines	Lines that meet at a common point.
Incenter	The center of the inscribed circle of a triangle.
Circumcenter	The center of the circumscribed circle of a triangle.
Median	A segment that joins a vertex of a triangle to the midpoint of the opposite side.
Centroid	The point where the medians of a triangle intersect.
Altitude	A segment that passes through a vertex of a triangle and is perpendicular to the opposite side.
Orthocenter	The point where the altitudes of a triangle intersect.
Circumscribed Circle Property	The circumscribed circle passes through all three vertices of a triangle.
Inscribed Circle Property	The inscribed circle is tangent to all three sides of a triangle.
Constructing the Circumcenter	Find the intersection of the perpendicular bisectors of the sides of a triangle.
Constructing the Incenter	Find the intersection of the bisectors of the angles of a triangle.
Circumcenter Distance Property	The circumcenter is equidistant from the vertices of a triangle.
Incenter Distance Property	The incenter is equidistant from the sides of a triangle.

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