Flashcards: Lesson 1.5: Special Points in Triangles

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Created by:

keyjames on September 7, 2009

Subjects:

Geometry

Groups:

Geometry, Sherwood High Geometry

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Flashcards: Lesson 1.5: Special Points in Triangles

Inscribed Circle
A circle that is inside a triangle and is tangent to its sides.
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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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