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17 Cards in this Set

  • Front
  • Back
cevian
a line segment from a vertex of a triangle to a point on the opposite side
perpendicular bisector
the line passing through the midpoint of a segment such that the line is perpendicular to the segment

consists of all points that are equidistant from the endpoints of the segment
angle bisector
a line that divides an angle into two equal angles

consists of all points that are equidistant from the sides of the angle
concurrent
to meet at a single point
circumcenter
place where the perpendicular bisectors of the sides of a triangle meet
circumcircle
circle centered at the circumcenter
circumscribe
to pass through all the vertices of a triangle
circumradius
radius of the circumcircle
what is the circumcenter of a right triangle?
the midpoint of the hypotenuse
what is the circumradius of a right triangle?
one half the length of the hypotenuse
incenter
where the angle bisectors of a triangle are cocurrent. this point is equidistant from the sides of the triangle
inradius
the distance from the incenter to the sides of a triangle
incircle
circle inside a triangle
median
the median of a triangle is a segment from a vertex to the midpoint of the opposite side

the medians of a triangle divide the triangle into six triangles with equal area
centroid
where the medians of a triangle are concurrent

the centroid of a triangle cuts its medians into a 2:1 ratio
what is the median to the hypotenuse of a right triangle?
half the length of the hypotenuse
orthocenter
the point of a triangle where the altitudes are cocurrent