# 4.8 The Symmetry Line in an Isosceles Triangle

- Author:
- diego83720

## The Symmetry Line in an Isosceles Triangle Investigation

Triangle ADK and Triangle RDK do look congruent which would make line segment KD a line of symmetry
D is the midpoint of line segment AR which would make line segment KD a median
Angle ADK do have equal measurements compared to angle RDK with 90 degrees. They are supplementary and the conclusion I can make is that it line segment KD is the altitude
Vertex Angle Bisector Conjecture
In an Isosceles triangle, the bisector of the vertex angle is also the median and altitude.