1. April 21 st - Your next hand-in day will be Wednesday, April 30 th - Draw 5 2D Shapes. Using a dotted line, draw a line of symmetry through each shape. Do any of your shapes have more than one line of symmetry?

2. - Similarity, Transformations, & Symmetry - Approximately April 21 st to May 14 th

3. This unit will help you develop an understanding of the Geometry of 2D Shapes. Geometric understanding is formally used in careers like architecture, engineering, design, & surveying. We will learn how to work with: - Scale Diagrams - Similar Shapes - Line Symmetry & Rotational Symmetry

4. As a group, review the flags of the provinces/territories in Canada. Which one(s) have lines of symmetry?

5. What Is Line Symmetry? -There is/are a line(s) that divide the shape into two congruent parts -Called the line of symmetry or line of reflection -They can have more than one line of symmetry!

6. What Is Line Symmetry? -It DOES NOT mean that the line simply cuts a shape in half -Each side has to be exactly the same -If they folded on top of another, it would be a perfect match

7. On the worksheet, Master 7.19: -Identify how many lines of symmetry each shape has One the back of the worksheet: -Sort the shapes according to the number of lines of symmetry that they have -Which shapes do not have any lines of symmetry?

8. Which shapes have 1 line of symmetry? A, D, G, I Which shapes have 2 lines of symmetry? B Which shapes have 3 lines of symmetry? None Which shapes have 4 lines of symmetry? F, H Which shapes have no lines of symmetry? C, J, K

9. Symmetrical Logos! You and a partner are designing a logo for (insert interesting idea here). Your logo must include: -5 shapes that have their own unique lines of symmetry -Overall symmetrical design -At least 3 different colours

10. April 22 nd - Your next hand-in day will be Wednesday, April 30 th - How many lines of symmetry do each of these hazard symbols have?

11. Example ONE What lines of symmetry exist in each tessellation below?

12. Example ONE What lines of symmetry exist in each tessellation below?

13. Example TWO Which triangles are related to the red triangle by a line of reflection?

14. Example TWO Which triangles are related to the red triangle by a line of reflection?

15. Example THREE Shape ABCD is part of a larger shape. If line AD serves as a line of symmetry, draw the remaining portion of the shape.

16. Example THREE Shape ABCD is part of a larger shape. If line AD serves as a line of symmetry, draw the remaining portion of the shape.

17. Line Symmetry Questions Page 358, Questions 4-6 Page 359, Questions 9-10

18. April 23 rd - Your next hand-in day will be Wednesday, April 30 th - How many lines of symmetry does each logo have?

19. April 28 th - Your next hand-in day will be Wednesday, April 30 th - How many lines of symmetry does each logo have?

20. April 29 th - Your next hand-in day will be Wednesday, April 30 th - How many lines of symmetry does each logo have?

28. April 30 th - Hand-In Day- How many lines of symmetry does each logo have?

29. May 5 th - Your next hand-in day is Tuesday, May 13 th - Maps usually feature a Scale Factor like the one displayed below. Use the image to describe what the Scale Factor is telling us.

30. -A Scale Diagram is an image that is an enlargement or reduction of another image -Enlargement = bigger -Reduction = smaller

31. You have been handed a picture of a 2D or 3D shape, with measurements. Find a person in the classroom who has the same shape as you, but the image has been enlarged or reduced. 6cm 3cm 2cm 4cm

33. Length of vertical segment on the scale diagram = Length of vertical segment on the original diagram =

34. Length of horizontal segment on the scale diagram = Length of horizontal segment on the original diagram =

39. Scale Factors -An image has the measurements seen here  -It needs to be enlarged by a scale factor of: 1.5 -What dimensions will the enlargement have?

40. Scale Factors -An image has the measurements seen here  -It needs to be reduced by a scale factor of: 0.25 -What dimensions will the reduction have?

41. Scale Factor Questions Pg 323 Qs 4, 5, 11 Pg 329 Qs 5, 7, 12

42. May 6 th - Your next hand-in day is Tuesday, May 13 th - Draw a 2D shape that has a rotational symmetry with an order of 6. Label the measurements of your shape. Enlarge your shape by a scale factor of 4.5.

43. Scale Factor Word Problems Complete the questions provided on the worksheet. Place all answers on a piece of loose leaf & remember to include diagrams!

44. May 7 th - Your next hand-in day is Tuesday, May 13 th - You are provided with the following shape: If it is to be reduced by a scale factor of 3/4, what will its new measurements be? Draw & label a diagram of the reduction.

45. Similarity -Two triangles are similar if the only difference is: -Size -Rotation -All of the triangles in the image to the right are considered similar Similar Triangles. (Accessed 2014). Uploaded by Math is Fun. Available online at: http://www.mathsisfun.com/geometry/triangles-similar.html

46. Similarity -Similar triangles have to have: -All of their angles equal OR -Corresponding sides have the same ratio (they are scale diagrams of one another) Similar Triangles. (Accessed 2014). Uploaded by Math is Fun. Available online at: http://www.mathsisfun.com/geometry/triangles-similar.html

47. Representing Similar Triangles -The symbol ∠ is used to represent angle -These 2 triangles are similar because: ∠ A = ∠ Q = 75 o ∠ B = ∠ R = 62 o ∠ C = ∠ P = 43 o

48. Representing Similar Triangles -When comparing 2 triangles, order the letters to match the angles: (ex) ∆ABC ~ ∆QRP - AB matches QR - BC matches RP - AC matches QP

49. Similar Triangles Identify how the 2 triangles are similar

50. Similar Triangles How tall is the totem pole to the nearest tenth of a meter?

51. Similar Triangles Page 349-351 Qs 4-7, 9-12

52. May 12 th - Your next hand-in day is Tuesday, May 13 th - You are provided with the following shape: If it is to be reduced by a scale factor of 3/4, what will its new measurements be? Draw & label a diagram of the reduction.

53. May 13 th - Hand-In Day!! April 30 th - Today - Use similar triangles to find the value of x.