Flashcards Triangle Centers

circumcenter (image)

The intersection of a triangle's perpendicular bisectors.

incenter (image)

The intersection of a triangle's angle bisectors.

centroid (image)

The intersection of a triangle's medians.

median (image)

A segment from the vertex of a triangle to the midpoint of the opposite side.

altitude (image)

A segment from a vertex of a triangle that is perpendicular to the line containing the opposite side.

midsegment (image)

A line connecting the midpoints of two sides of a triangle.

concurrent (image)

Three or more lines that intersect at one point.

perpendicular bisector (image)

a line, ray, or segment that divides a segment into two congruent parts at a 90 degree angle

angle bisector (image)

a line, ray, or segment that divides an angle into two congruent parts

median (image)

a segment that connects a vertex to the midpoint of the opposite side

altitude (definition, no image)

a segment that connects a vertex to the opposite side so that it creates a 90 degree angle

circumcenter (definition, no image)

the point at which the perpendicular bisectors intersect in a triangle

incenter (definition, no image)

the point at which the angle bisectors intersect in a triangle

centroid (definition, no image)

the point at which the medians intersect in a triangle

orthocenter (definition, no image)

the point at which the altitudes intersect in a triangle

perpendicular bisectors (definition, no image)

circumcenters are created by:

Incenter are created by:

angle bisectors

medians

Centroids are created by:

median; vertex

A centroid is created by a _____________ connected to the _________________ of the opposite side.

altitudes

orthocenters are created by:

altitude; perpendicular

An _______________ is created by a vertex connected to the opposite side so that it is ______________ to that side.