1. 5-1 Special Segments in Triangles
Objective: Use medians, angle bisectors, perpendicular bisectors and altitudes to solve problems.
RELEVENCE: Construction

2. Perpendicular Bisector of a Triangle
A line or line segment that passes through the midpoint of a side of a triangle and is perpendicular to that side.
Perpendicular Bisector

3. Median of a Triangle
A segment that joins a vertex of the triangle and the midpoint of the opposite side.
Median

4. Altitude of a Triangle
A segment from a vertex of the triangle to the line containing the opposite side and perpendicular to the line containing that side.
Altitude

5. Angle Bisector of a Triangle
A segment that bisects an angle of the triangle and has one endpoint at a vertex of the triangle and the other endpoint at another point on the triangle.
Angle Bisector

6. Example 1: If SU is a median of ∆RST, find SR. S 4x + 11 T R 3x + 7 U

7. Example 2: If GM is an angle bisector, find m∠IGM. I M (x + 12)° G H
m∠IGH = (3x – 5)°

8. Exit Ticket Find BC if CD is a median of ∆ABC. C 3x + 8 A 4x + 5 D