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GEOMETRY- Triangles
Special Segments in Triangles Vocabulary
| Question | Answer |
|---|---|
| Perpendicular Bisector | A line that is perpendicular to a segment at its midpoint. |
| Angle Bisector | A line that divides an angle into two congruent angles. |
| Median | A segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side. |
| Altitude | A perpendicular segment from a vertex to the opposite side (or to the line that contains the opposite side). |
| Perpendicular Bisector- Point of Concurrency | Circumcenter |
| Angle Bisector- Point of Concurrency | Incenter |
| Median- Point of Concurrency | Centroid |
| Altitude- Point of Concurrency | Orthocenter |
| Perpendicular Bisector- Location of Point of Concurrency | • Acute Δ: Inside• Right Δ: On• Obtuse Δ: Outside |
| Angle Bisector- Location of Point of Concurrency | • Acute Δ: Inside• Right Δ: Inside• Obtuse Δ: Inside |
| Median- Location of Point of Concurrency | • Acute Δ: Inside• Right Δ: Inside• Obtuse Δ: Inside |
| Altitude- Location of Point of Concurrency | • Acute Δ: Inside• Right Δ: On• Obtuse Δ: Outside |