Download Special Segments in Triangles

Special Segments in Triangles:
Median:
Definition – The segment that joins vertex and the midpoint of the opposite side.
Drawing –
C
A
B
Special characteristics –
1.) Bisects one of the sides of a triangle
2.) Every triangle has three of them.
Altitude:
Definition – Any line segment from a vertex perpendicular to the base
Drawing – (show two triangles….one with the altitude inside, and one with it outside)
C
C
A
B
A
B
Special characteristics –
1.) Can be inside or outside the triangle
2.) Every triangle has 3 of them
3.) Forms right angles when vertex is connected with opposites sides segment or segment extended.
Perpendicular Bisector:
Definition – A line segment that passes through the midpoint of a side of a triangle and is perpendicular
to that side.
Drawing –
C
A
B
Special characteristics –
1.) Bisects one side of the triangle
2.) Each point on the perpendicular bisector is equidistant from the endpoints of the segment.
3.) Every triangle has 3 of them.
Angle Bisector:
Definition – A line segment that divides an angle of a triangle into two congruent angles.
Drawing –
C
A
B
Special characteristics –
1.) Every triangle has 3 of them.
2.) Any point on the bisector is equidistance from the sides of the angle.