2. Brain Strain Find the value of x. x x x xx

3. Special Segments in Triangles

4. MedianMedian

5. Altitude Altitude

6. Tell whether each red segment is an altitude of the triangle. The altitude is the true height of the triangle.

7. Perpendicular Bisector

8. Tell whether each red segment is an perpendicular bisector of the triangle.

9. Angle Bisector

10. Drill & Practice Indicate which special triangle segment the red line is based on the picture and markings

16. 20

17. Points of Concurrency

18. The intersection of the angle bisectors is called the INCENTER. Equidistant to the sides

19. The intersection of the altitudes is called the ORTHOCENTER.

20. The intersection of the medians is called the CENTROID. Vertex to Centroid is Twice as Long as Centroid to Midpoint

21. The intersection of the perpendicular bisector is called the CIRCUMCENTER. Equidistant to the vertices

22. Memorize these! MC AO ABI PBCC Medians/Centroid Altitudes/Orthocenter Angle Bisectors/Incenter Perpendicular Bisectors/Circumcenter

23. Will this work? MC AO ABI PBCC My Cat Ate Our Apples But I Prefer Blue Cheese Crumbles

24. Special Property of Medians

25. Theorem Vertex to CENTROID is TWICE as long as CENTROID to MIDPOINT vertex centroid midpoint

26. A B F X E C D

27. A B F X E C D

28. In ABC, AN, BP, and CM are medians. A B M P E C N If EM = 3, find EC. Ex: 1

29. In ABC, AN, BP, and CM are medians. A B M P E C N If EN = 12, find AN. Ex: 2

30. In ABC, AN, BP, and CM are medians. A B M P E C N If CM = 3x + 6, and CE = x + 12, what is x? CM = CE + EM Ex: 3