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### Special Segments in Triangles

• Perpendicular Bisector: A line or line segment that passes through the midpoint and is perpendicular to that side
• Perpendicular Bisector Theorems:
• Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment
• Any point equidistant from the endpoints of a segment lies on the perpendicular bisector of the segment
• Median: A segment that connects a vertex of a triangle to the midpoint of the side opposite the vertex
• Altitude: A segment with one endpoint at the vertex and the other on the side opposite that vertex so that the segment is perpendicular to the side
• Angle Bisector: A segment with one endpoint on the vertex and the other on the side opposite so that it divides the angle into two congruent angles
• Angle Bisector Theorems:
• Any point on the bisector of an angle is equidistant from the sides of the angle
• Any point on or in the interior of an angle and equidistant from the sides of an angle lies on the bisector of the angle

## Special Segments in Triangles

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.