construction Flashcards
concurrent
lines that intersect in a single point (2 lines will always be concurrent but 3 won’t always be)
Angle bisector concurrency conjecture
the three angle bisectors of a triangle are concurrent
incenter
the point of concurrency of the angle bisectors of a triangle
the incenter of the inscribed circle which touches each side of the triangle
the incenter of the inscribed circle which touches each side of the triangle
perpendicular bisector concurrency conjecture
the 3 perpendicular bisectors of a triangle are concurrent
circumcenter
the point fo concurrency of the perpendicular bisector of a triangle
the circumcenter is the center of the circumscribed circle which rouches each vertex of the triangle
the circumcenter is the center of the circumscribed circle which rouches each vertex of the triangle
median
a line segment connecting a vertex of a triangle to the midpoint of the opposite side
altitude
a perpendicular segment from a vertex to the base or to the line containing the base (construct the perpendicular from a point to a line)
altitude concurrency conjecture
the 3 altitudes of a triangle are concurrent
orthocenter
the point of concurrency of the altitudes of a triangle
medians concurrency conjecture
the 3 medians of a triangle are concurrent
centroid
the point of concurrency of the medians of a triangle
the centroid is the center of gravity of the triangles. the centroid divides each median into two parts so that the distance from the centroid to the vertex is twice the distance to the midpoint. In other words, each median is split into 1/3 and 2/3 lengths
the centroid is the center of gravity of the triangles. the centroid divides each median into two parts so that the distance from the centroid to the vertex is twice the distance to the midpoint. In other words, each median is split into 1/3 and 2/3 lengths
Euler line
a special line that contains 3 out of 4 points of concurrency orthocenter, circumcenter, and centroid
