1. Essential Question Learning Objective What does it mean to say that two figures are similar? Given two figures, I will determine whether or not they are similar and state my reasoning.

2. Transformations Reflections

3. Transformations Translations

4. Transformations Rotations 90o

5. Transformations Dilations

6. Transformations Reflections Translations Rotations Dilations

8. you should know: what you've learned: What is perimeter and area how to calculate perimeter and area of rectangles, squares, and triangles undefined terms: point, line, plane defined terms: segment, ray, angle, parallel, perpendicular angle pair relationships: complementary, supplementary, linear pair, vertical angles Transformations: (reflections, translations, rotations) & (dilations) Congruence Triangle congruence shortcuts: SSS, SAS, ASA Triangle Facts: Triangle Sum, 3rd Angles ≅ Constructions: ≅ segments, ≅ triangles, perpendicular bisectors, ≅ angles, angle bisectors, parallel segments, equilateral triangles, regular hexagon, square Similarity 6.3 Similarity

9. Scale factor can be written as a decimal or as a fraction: 6 4 5 7.5 2.8 4.2 preimage image Scale Factor or.6667 image preimage or 2.5 3 3 4 7.5 10

10. You can calculate scale factor by dividing the image lengths from the pre-image lengths: Scale Factor image preimage or 2.5 3 3 4 10 7.5 7.5 / 3 = 2.5 10 / 4 = 2.5

11. Key Terms: Similarity -

12. Key Terms: Similarity - Ratio - a comparison of two numbers using division. a b a : b a to b Corresponding sides all have the same scale factor and corresponding angles are congruent. Proportionality - an equation that states that two or more ratios are equal.

17. "WE DO" TIME

18. Problem a) b) c) d) What is the symbol of similarity? ≅ T ˜ Δ

19. Problem Are the triangles similar? Why? 105o 45o 30o 105o 45o 30o

20. Problem Are the triangles similar? Why? 80o

21. Problem Are the triangles similar? Why? 52o 24o 52o 24o

22. Problem Are the triangles similar? Why?

23. Problem Are the triangles similar? Why? 97o 56o 27o 97o

24. Problem Are the triangles similar? Why? 54o 70o 56o 52o 73o 54o

25. Problem Are the triangles similar? Why? 4 3 6 5.5 11 8

26. Problem Are the triangles similar? Why? 3 5 15 9

27. Problem Are the triangles similar? Why? 13 6 6.5 8.4 18.2 3.2

28. Problem Are the triangles similar? Why? 10 7.7 6 4.62 3.6

29. Problem Are the triangles similar? Why?

30. Essential Question Learning Objective What does it mean to say that two figures are similar? Given two figures, I will determine whether or not they are similar and state my reasoning.

31. Closure

32. HW none

33. A B C A'A' B'B' C'C' 10 1 7.7 6.6 4.62

34. 6 4 5 7.5 2.8 4.2 A B C D E F

36. A C B 2 3 3.5 4 7 A' B'B' C'C'

37. sim by angles three angles given two angles not similiar

38. sim by sides three sides two sides not sim

39. A B C A'A' B'B' C'C' 4.5 6 7.6 11.25 15 19

40. 5 4 5.5 2 2.5 2.75 6 2 1 2.2 4 6.6 59 o 61 o