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Activity 14
Geometry-Concurrent Segments in Triangles
| Term | Definition |
|---|---|
| Altitude of a triangle | – a segment from a vertex of the triangle, perpendicular to the opposite side (or line containing the opposite side) of the triangle |
| Point of concurrency | where the three or more lines intersect |
| Point-slope form | the equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line |
| Systems of equations | a collection of two or more equations with a same set of unknowns |
| Orthocenter | The point of concurrency of the altitudes of a triangle |
| Median of a triangle | a line segment joining a vertex to the midpoint of the opposing side, bisecting it |
| Centroid | point of concurrency; the point where all 3 medians intersect |
| Circumcenter | the point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices |
| Incenter | the center of an inscribed circle; that point where the bisectors of the angles of a triangle or of a regular polygon intersect |
| Circumscribe | draw around |
| Inscribed | draw something inside something else |
| Slope of perpendicular lines | opposite reciprocals |
| Slope of horizontal line | zero |
| Slope of vertical line | undefined |