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Math Triangle stuff
| Question | Answer |
|---|---|
| Concurrent lines | 2 or more lines that intersect in one point |
| Point of concurrency | the intersection point |
| Centroid | the point of concurrency of the medians of a triangle |
| Median | a segment that joins a vertex of a triangle to the midpoint of the opposite side |
| Circumcenter | point of concurrency of the perpendicular bisectors of the sides of a triangle |
| Incenter | point of concurrency of the bisectors of the angles of a triangle |
| Orthocenter | point of concurrency of the altitudes of a triangle |
| altitude | a perpendicular segment from a vertex of the triangle to the line containing the opposite side |
| Equilateral | 3 congruent sides |
| Isosceles | at least 2 congruent sides |
| Scalene | no congruent sides |
| Equiangular | 3 congruent angles |
| Acute | 3 acute angles |
| Obtuse | 1 obtuse angle |
| Right | 1 right angle |
| 3 sides | triangle |
| 4 sides | quadrilateral |
| 5 sides | pentagon |
| 6 sides | hexagon |
| 7 sides | heptagon |
| 8 sides | octagon |
| 9 sides | nonagon |
| 10 sides | decagon |
| 11 sides | hendecagon |
| 12 sides | dodecagon |
| 5 segments associated with a triangle | 1. perpendicular bisectors 2. angle bisectors 3. medians 4. altitudes 5. midsegments |
| perpendicular bisector | a segment that is perpendicular to a side of a triangle at the midpoint of the side |
| angle bisector | a segment that bisects an angle of a triangle |
| median | a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side |
| altitude | the perpendicular segment from a vertex to the opposite side or a line containing the opposite side |
| midsegment | segment that connects the midpoints of any two sides of a triangle |