GEOMETRY HONORS
MEDIANS, ALTITUDES, ANGLE & PERPENDICULAR BISECTORS
WARM UP Match a description with a diagram
a) Angle Bisector
b) Perpendicular Bisector
c) Perpendicular to a line
NOTES
1. Median – A median of a triangle is a segment joining any vertex to the __________________ of the
opposite side
Sketch the median from vertex B
Sketch the median from vertex D
Sketch the median from vertex F
The median of any triangle is ______________ on the _______________ of the triangle
2. Altitude – An altitude of a triangle is a segment drawn from any vertex __________________ to
the opposite side
Sketch the altitude from vertex B
Sketch the altitude from vertex D
Sketch the altitude from vertex F
The altitude can be _________, __________, or __________ the triangle
GEOMETRY HONORS
MEDIANS, ALTITUDES, ANGLE & PERPENDICULAR BISECTORS
3. Angle Bisector – An angle bisector of a triangle is a segment drawn from any vertex such that it
_______________ the angle in which it is drawn from
Sketch the a.b. from vertex C
Sketch the a.b. from vertex E
Sketch the a.b. from vertex D
The angle bisector of any triangle is ______________ on the _______________ of the triangle
4. Perpendicular Bisector – A perpendicular bisector of a triangle is a segment drawn through the
______________ of any given side such that it is ___________________ to the side
Sketch the p.b. to AC
Sketch the p.b. to DE
Sketch the p.b. to DF
The perpendicular bisector is not _______________ drawn from the vertex
Medians, Altitudes, Angle & Perpendicular Bisectors of an isoscesles and equilateral triangle:
Conclusion: