Covers angles to transformations

3. Polygons Closed figures made up of straight sides.

7. Alternate angles When two parallel lines are cut by a third line, then angles in alternate positions equal in size. Co-interior angles When two parallel lines are cut by a third line, co-interior angles are supplementary. Angles at a point. The sum of the sizes of the angles at a point is 360 Adjacent angles on a straight line The sum of the sizes of the angles on a line is 180 degrease

8. Adjacent angles in a right angle The sum of the size's of the angles in around different points but the same angle Vertically opposite angles Vertically opposite angles are equal in size. Corresponding angles When two parallel lines are cut by a third line, then angles in corresponding positions are equal in size.

9. Interior Angles of a Polygon Degrees in a triangle sum to 180° If there are 180 degrees in a triangle how many degrees must there Be in a quadrilateral which is split into 2 triangles. The rule (n­2) × 180° n is the number of sides of the polygon ttrsgf No. of sides of polygon 3 4 5 You do 6, 8, 10 Drawing Number of triangles 1 2 3

11. 3 4 5 6 8 10 3 4 5 6 8 10 360 360 360 360 360 360 120 90 72 60 45 36 180 360 540 720 1080 1440 60 90 108 120 135 144 Exterior Angles Number of sides Sum of exterior angles Each exterior angle Equilateral triangle Square Pentagon Hexagon Octagon Decagon Interior Angles Number of sides Sum of exterior angles Each exterior angle Equilateral triangle Square Pentagon Hexagon Octagon Decagon

12. Navigation and Bearings

14. Bearings

18. Starter

25. Paper Cutting

28. E D A B F G A' C E’ F’ B’ D’ C’ G’

30. m

31. Where would the mirror line go?? m

33. m m

37. D A C B D’ A’ B’ C’

39. Rotation

42. Drawing Rotations A B C D B’ D’ C’ ¼ turn clockwise = 90º clockwise

43. Drawing Rotations A B C B’ ¼ Turn anti-clockwise = 90º Anti-clockwise C’

44. By what angle is this flag rotated about point C ? 180º Remember: Rotation is always measured in the anti clockwise direction! C

45. By what angle is this flag rotated about point C ? 90º C

46. By what angle is this flag rotated about point C ? 270º C

49. Answers 26.07 A D C B B’ C’ D’ A’ A A’ B C B’ C’ 1 2

50. A D B B’ C’ D’ A’ 3 C 7 D’ A D B’ C’ A’ B C

51. s s 8

55. m A C B D D’ A’ B’ C’ D’’ B’’ C’’ A’’ C’’’ B’’’ D’’’ A’’’

57. Order of rotational symmetry= Order of rotational symmetry= 3 4

63. 0 5 6 7 8 1 -8 -7 -6 -5 -4 -3 -2 -1 4 2 3 0 5 6 7 8 1 -8 -7 -6 -5 -4 -3 -2 -1 4 2 3 1. Move the red dot by the following values and state where it now lies. (-1), (4), (7), (-4) and (11). 1. Move the green dot by the following values and state where it now lies. (-6), (3), (-9), (-4) and (5).

65. Translations Each point moves the same distance in the same direction There are no invariant points in a translation (every point moves)

69. Vectors -5 +4 +2 -6 -6 -2 +3 +4

73. Object Image 6 1 Object Image -1 2

75. Scale factor of 2 Scale factor of 1/2