1. Table of Contents
Date: Topic: Description: Page:

2. 5.2 Notes: Medians and Altitudes of Triangle

3. The length of this snickers bar is 18cm. What is 2/3 the length
The length of this snickers bar is 18cm. What is 2/3 the length? What is 1/3 of the length of the snickers bar?
18cm.

4. Vocabulary
Median:  
A segment with endpoints being a vertex of the triangle and the midpoint of the opposite side.
Centroid:
The point of concurrency of the medians of the triangle
Centroid Theorem: 
The centroid that is 2/3 of the distance from each vertex and 1/3 the distance from each side.

5. Example 1: In ΔXYZ, P is the centroid and YV = 12. Find YP and PV.
Given the information about triangle XYZ, how can I mark up the triangle if knowing P is the centroid?

6. Example 2: In ΔABC, CG = 4. Find GE.
Given the picture of the triangle, what is G in my picture?

7. Vocabulary
Altitude:
A segment from a vertex to the line containing the opposite side and perpendicular to the line containing that side.
Orthocenter:
The lines containing the altitudes of a triangle are concurrent, intersecting at a point.

8. Perpendicular Bisector
Point of Concurrency :
Special Property:

9. Angle Bisector
Point of Concurrency :
Special Property:

10. Median
Point of Concurrency :
Special Property:

11. Altitude
Point of Concurrency :
Special Property:

12. Summary!
In ∆𝑃𝑄𝑅, NQ = 6, RK = 3, and PK = 4. Find each measure using the figure below.
KM 2) KQ
LK 4) LR
NK 6) PM

13. Summary!
Draw an altitude from point B to 𝐴𝐶 in triangle ABC. Make all necessary markings.

14. Summary!
For numbers , give the name of the point of concurrency for each of the following. 8. Angle Bisectors of a Triangle 9. Medians of a Triangle 10. Altitudes of a Triangle 11. Perpendicular Bisectors of a Triangle

15. Summary!
For numbers 12 – 13, complete each of the following statements.
12. The incenter of a triangle is equidistant from the _______________ of the triangle.
13. The circumcenter of a triangle is equidistant from the _________________ of the triangle.