1. Special Segments of Triangles Advanced Geometry Triangle Congruence Lesson 4

2. 3 or more lines Concurrent Lines Point of Concurrency intersect at a common point

3. Angle Bisector Incenter

4. passes through the midpoint circumcenter Perpendicular Bisector perpendicular

5. midpoint centroid Median vertex

6. Altitude perpendicular orthocenter

7. Special Segment altitude angle bisector median perpendicular bisector Characteristics vertexmidpoint  separates an angle in half

8. Example: bisectsEDF,F = 80, and E = 30, find DGE. If

9. Example: is a perpendicular bisector. If LM = x + 7 and MN = 3x – 11, find the value of x and LN.

10. Example: is a median, RV = 4x + 9, and VT = 7x – 6. Find the value of x and RV.

11. The centroid of a triangle is located two thirds of the distance from a vertex to the midpoint of the side opposite the vertex on a median. THEOREM

12. Example: Points X, Y, and Z are midpoints. Find a, b, and c.