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Chapter 5 (Kachur)
Vocabulary for chapter 5
| Term | Definition |
|---|---|
| Concurrency | The intersection of three or more lines |
| Perpendicular Bisectors | A ray, line, or segment that bisects a line at a right angle |
| Circumcenter | Where the perpendicular bisectors meet, can be inside, outside, or on a triangle |
| Circumcenter Theorem | The circumcenter is equidistant from each vertex of a triangle |
| Angle Bisector | A ray that splits an angle into two congruent parts |
| Incenter | Where the angle bisectors meet, must stay inside of a triangle |
| Incenter Theorem | The incenter is equidistant from each side of a triangle |
| Median | A segment that connects a triangle's vertex to the midpoint of the opposite side |
| Centroid | Where the medians meet, must stay inside of a triangle |
| Centroid Theorem | The distance from a vertex to its centroid is 2/3 of a median's length |
| Altitude | A segment that connects a triangle's vertex to the opposite side at a right angle, can be inside or outside of a triangle |
| Orthocenter | Where the altitudes meet, can be inside, outside, or on a triangle |
| Midsegment | A segment that connects two midpoints of a triangle |
| Triangle Midsegment Theorem | Each midsegment is parallel to the side of a triangle that it isn't connected to and that side is double the midsegment's length |