tpdg 4: median, altitude, angle bisector stuff

(another repeat) what is an angle bisector

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

(necessary repeat) A segment bisector is

a segment that intersects another segment at its midpoint

In an isosceles triangle the median, altitude, and angle bisector

drawn from the vertex angle to the base are the same segment

is an angle bisector equivalent to a segment bisector?

no, angle bisector has no midpoint to intersect

before proving segment bisector

prove midpoint first

Median of a triangle is a

segment drawn from any vertex of a triangle to the midpoint of the opposite side

In an isosceles triangle, the median altitude, and angle bisector are ? all the same segment

sometimes

a median is ? perpendicular to the opposite side

sometimes

an altitude is ? an angle bisector

sometimes

an altitude is ? perpendicular to the opposite side

sometimes

an angle bisector is ? perpendicular to the opposite side

sometimes

an altitude of a triangle is

the perpendicular segment drawn from a vertex to the line that CONTAINS the opposite side