1. If we use this next year and want to be brief on the concurrency points, it would be better to make a table listing the types of segments and the name of the point of concurrency with a diagram. Skip the words and definitions since we are just briefly mentioning each term.

2. DNA
Chapter 5 – 1
Bisectors, Medians, and Altitudes of Triangles pp

3. Distance from a point to a line
The length of the perpendicular segment from the point to the line. No
Yes No

4. Perpendicular bisector is a segment, ray, line or plane that is to a segment at its midpoint.

5. A perpendicular bisector of a triangle bisects one of its sides.

6. Sample problem: Find x and y.

7. Perpendicular Bisector Theorem
Any point on the  bisector of a segment is equidistant from the endpoints of the segment. A B P
P is on the

8. Angle Bisector Theorem
Any point on the bisector of an angle is equidistant from the 2 sides of the angle. D B A C

9. Altitude (height) of a Triangle
The  segment from a vertex to the opposite side of the .
Vertex

11. Median of a 
A segment connecting a vertex of the triangle and the midpt of the opposite side.

12. P is called the point of concurrency.
Concurrent Lines
3 or more lines that intersect at the same pt. l
P is called the point of concurrency. P m n

13. The point of concurrency of the 3 of a is called the circumcenter of the

14. The circumcenter is the point used to circumscribe (circle) the triangle so that the circle passes through each vertex of the

15. The point of concurrency of the 3  bisectors of a .
Incenter
The point of concurrency of the 3  bisectors of a .
The incenter is the point used to construct an inscribed circle (a circle inside of a triangle).

16. Orthocenter
The point of concurrency of the 3 altitudes of a

17. Balance point of the triangle!
Centroid
The point of concurrency of the 3 medians of a
Balance point of the triangle!

18. Homework:
Textbook pp. 274 – 278,
problems 2, 6 – 15, and 47 – 50, and