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# Activity 14

### Geometry-Concurrent Segments in Triangles

TermDefinition
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
Created by: shoemaker