1. Lines, Angles and Triangles
Special Segments in Triangles
Perpendicular Bisectors and Angle Bisectors
Opening routine

2. Topic III: Lines, Angles and Triangles

3. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments
Objective: Identify the medians of a triangles and their point of concurrency.
Essential Question: How the location of the centroid of a triangle can vary for acute, right and obtuse triangles?

4. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments
Vocabulary
Median: Is a segment whose endpoints are a vertex of a triangle and the midpoint of the side opposite the vertex. They are concurrent.
Centroid: Is the point of concurrency of the medians of a triangle. It is the point of balance of any triangle.

5. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments
Vocabulary
Altitude: Is a segment that joins a vertex of a triangle with the opposite side and is perpendicular to that side.
Orthocenter: Is the point of concurrency of the altitudes of a triangle.
Midsegment: Is a segment that joins the midpoints of two sides of the triangle. Every triangle has three midsegments, which form the midsegment triangle.

6. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments

7. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments

8. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments

9. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments

10. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments

11. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments

12. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments

13. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments

14. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments

15. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments
Guided Practice – WE DO

16. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments
Guided Practice – WE DO

17. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments
YOU DO - Independent Practice
Worksheet
Exercises 1 – 34

18. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments
Homework
Worksheet
Special Segments of Triangles

19. Lines, Angles and Triangles
Special Segments in Triangles
Medians, Altitude and Midsegments
Closure
Essential Question: How the location of the centroid of a triangle can vary for acute, right and obtuse triangles?