Transcript Medians, Altitudes, and Angle Bisectors

Medians,
Altitudes, and
Angle Bisectors
Honors Geometry
Mr. Manker
Median
 If
a segment connects a vertex of a
triangle to the midpoint of the opposite
side, then it is a median.
 If a segment is a median, then it divides
the side to which it is drawn into two
congruent segments.
Concurrency
 The
point of concurrency (intersection) of
the medians of a triangle is called the
CENTROID.
Altitude
 If
a segment connects a vertex of a
triangle to its base at a perpendicular
(right angle), then it is an altitude.
 If
a segment is an altitude, then it
intersects the side to which it is drawn at a
right angle.
Concurrency
 The
point of intersection of the altitudes of
a triangle is called the orthocenter.
Angle Bisector
 If
an angle is bisected, then it is divided
into two congruent angles.
 If an angle is divided into two congruent
angles, then it is bisected.
Concurrency
 The
point of intersection of the angle
bisectors of a triangle is called the
incenter.