triangles: ch 5

triangles: ch 5

1. medians

   • definition
     • segment from a vertex to the midpoint of the opposite side
   • centroid
     • acute triangle
       • located inside
     • obtuse triangle
       • located inside
     • right triangle
       • located inside

2. altitudes

   • definition
     • perpendicular segment from a vertex to the opposite side or line that contains the opposite side
   • orthocenter
     • acute triangle
       • located inside
     • obtuse triangle
       • located outside
     • right triangle
       • located on

3. perpendicular bisectors

   • circumcenter
     • acute triangle
       • located inside
     • right triangle
       • located on
     • obtuse triangle
       • located outside
   • definition
     • segment perpendicular to a segment at its midpoint

4. angle bisectors

   • definition
     • ray that divides an angle into two congruent adjacent angles
   • incenter
     • obtuse triangle
       • located inside
     • acute triangle
       • located inside
     • right triangle
       • located inside