1. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. Warm up What theorem would you use to prove that the two triangle are congruent to each other. Be specific when you site your theorem, which sides and angles you believe to be congruent.

2. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. { Midpoints and Medians What are medians, and centroids. What relationship do they have to each other?

3. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems.  You are given Case 1, Case 2 and Case 3.  Plot the vertices of triangle OAB on your graphs provided  Find the midpoint D and E. D belongs to segment AO and midpoint E belongs on segment OB.  Once you have determined the points, create segment DE.  Now find the slope of AB, and DE.  Determine the distance of Length AB.  Answer questions 1-4 on page 51 of your notebook. Inquiry Timer

4. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems.

5. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems.  Midsegment – is a segment that connects the midpoint of two sides of the triangle. There are three midsegments in every triangle. Midsegment Theorem parallel half

6. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. Examples

7. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. Examples

8. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. Examples Use  GHJ, where D, E, and F are midpoints of the sides. Example: If DE = 4x + 5 and GJ = 3x + 25, what is DE? Example: If HJ = 8x – 2 and DF = 2x + 11, what is HJ? Example: If EF = 2x + 7 and GH = 5x -1, what is EF?

9. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems.

10. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems.   Median of a triangle: is a segment from a midpoint to the vertex of the opposite side.   Centroid: The point of congruence of the three medians of a triangle (where the three medians intersect). Definitions

11. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. AE BF CD

12. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. Examples In ΔFGH, M is the centroid and GM = 6. Find ML and GL

13. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. Examples In ΔHJK, P is the centroid and JP = 12. Find PT and JT.

14. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems.

15. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. Examples In ΔRST, Q is the centroid and SQ = 8. Find QW and SW.

16. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. Examples Point G is the centroid of ΔABC. Use the given information to find the value of x. a.CG = 3x + 7 and CE = 6x b.FG = x + 8 and AF = 9x – 6 c.BG = 5x – 1 and DG = 4x – 5

17. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems. Examples

18. EQ: What are medians, and centroids. What relationship do they have to each other? Assessment: Students will write a summary and practice example problems.