2. Similarity in Triangles Unit 13 Notes

3. Definition of Similarity

4. Similarity Definition Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional. This is called the Similarity Ratio.

5. Ex.1 Use similarity statements.

6. Vocabulary: Similarity Ratio

7. You Try! Given ΔJKL ~ ΔPQR, list all pairs of congruent angles. Write the ratios of the corresponding side lengths in a statement of proportionality.

8. Standardized Test Practice

9. Ex.2 Are the 2 triangles similar? If so, write a similarity statement. What is the similarity ratio from ΔCDE to ΔVUT?

10. You Try! In the diagram, ΔABC ~ ΔDEF. Check that the ratios of corresponding side lengths are equal. What is the scale factor from ΔABC to ΔDEF?

11. Standardized Test Practice

12. Congruent Figures Congruent figures are also considered to be similar figures. What would be the similarity ratio between any two congruent figures?

13. Ex.3 Ex.3 Use Similar Polygons I

14. In the diagram, ΔXYZ ~ ΔPQR. Solve for the missing side. You Try!

15. HW Assignment Blue Workbook – Section 6.1 #19-24 – Section 6.3 #1-4, 16-19

16. Proving Triangles Similar Unit 13

17. Angle-Angle (AA) Similarity Postulate

18. Examples of AA

19. Side-Side-Side (SSS) Similarity Postulate

20. Examples of SSS

21. Side-Angle-Side (SAS) Similarity Postulate

22. Examples of SAS

23. Are the triangles similar? Why or Why Not?

24. A few more…

25. Are these triangles similar? Why or Why not?

26. HW Assignment

28. Warm Up- Take Notes Over Video http://youtu.be/tm-_6sFdfk8

29. Practice

30. Partner Project

31. Proving Pythagorean Theorem Using Similar Triangles Unit 13 45.G.SRT.4

32. Proving the Pythagorean Theorem using Similar Triangles http://www.khanacademy.org/math/geometry/triangles/v/pythagorean-theorem-proof-using-similarity

33. Assignment Handout (Proving the Pythagorean Thm and Shadows)