| Term | Definition |
|---|
| 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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