Geometry- Mrs. TilusName: ___________________________________

Unit 5- Worksheet #4: Use Medians and Altitudes

, and are medians of and and .

1. Point G is called the ______________________

2. FC3. BF

4. AG 5. GE

6. A student uses the fact that T is a point of concurrency to conclude that . Explain what is wrong with this reasoning.

Point D is the centroid of Use the given information to find the value of x.

7. and

8. and

9. and 10. For with medians , and , and centroid K. Draw a diagram displaying an example of with its medians and fill in a fraction on the space provided.

Use the diagram shown and the given information to decide whether is a perpendicular bisector, an angle bisector, a median or an altitude of . There may be more than one right answer.

11. 12.

13. 14. and

15. 16. and

In each figure below, tell what point of concurrency is illustrated and identify the line segments that forms that point.

17. 18.

19. 20.