Good Afternoon!

1. Good Afternoon! Today we will be learning about Similarity and Symmetry Let’s warm up : Write Reflection, Rotation or Translation to describe how the figure was moved: 1) 2) 1) Reflection, Translation 2) Rotation 3) 4) 3) Rotation 4) Reflection CONFIDENTIAL

2. Let’s review what we did in the last session We learnt about transformation . If one shape can become another using Turns, Flips and/or Slides, then the two shapes are called Congruent: The three main Transformations are: • Reflection : Flip! • Rotation : Turn! • Translation : Slide! After any of those transformations (turn, flip or slide), the shape still hasthe same size,area, anglesandline lengths. CONFIDENTIAL

3. Review Reflection A reflection over a line, is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from the line of reflection as the original point but is on the opposite side. The central line is called the MirrorLine, and it doesn't matter what direction the mirror line goes, the reflected image is always the same size, it just faces the other way. CONFIDENTIAL

4. Review Reflection You can try reflectingdifferent shapes about different mirror lines. Just approach it step-by-step. For each corner of the shape: Step1 Measure from the point to the mirror line (must hit the mirror line at a right angle) CONFIDENTIAL

5. Review Reflection Step2 Measure the same distance again on the other side and place a dot. Step3 Then connect the new dots up! CONFIDENTIAL

6. Review Labels It is common to label each corner with letters, and to use a little dash (called a Prime) to mark each corner of the reflected image. Here theoriginal is ABC and the reflected image is A'B'C' CONFIDENTIAL

7. Review Rotation When we "rotate" an object round a point. We can notice that The distance from the center to any point on the shape stays the same! and Every point makes a circle around the center.! "Rotation" means turning around a center. CONFIDENTIAL

8. Review Rotation A rotation is a transformation, that moves every point around a fixed point (usually the origin). A rotation creates a figure that is congruent to the original figure and preserves distance and orientation . CONFIDENTIAL

9. Review Translation In Geometry, "Translation" simply means Moving .. without rotating, resizing or anything else, just moving. Every point of the shape must move: * the same distance * in the same direction. A translation is a transformation that slides every point of a figure the same distance in the same direction. CONFIDENTIAL

10. Let’s start with Similarity and Symmetry Similar: Two shapes are Similar if the only difference is size. If one shape can become another using Resizing, then the shapes are Similar. Example: When two shapes are similar, then: • corresponding angles are equal, and • the lines are in proportion. CONFIDENTIAL

11. Sometimes it can be hard to see if two shapes are Similar, because you may need to turn, flip or slide one shape as well as resizing it. Resized and Reflected Resized and Rotated Resized These shapes are all Similar. If one shape can become another using Resizing, then the shapes are Similar. CONFIDENTIAL

12. Fold this picture in half. The two parts match exactly. This picture has “symmetry.” Line of symmetry Symmetry: When a picture or figure has symmetry, it can be folded in half so that the two parts match exactly. Where you fold the shape, or the fold line, is called the line of symmetry. CONFIDENTIAL

13. Line Symmetry A figure has line symmetry if it can be folded in half so that the two halves match exactly i.e. one halfof it is the mirror image of the other half. Line symmetry is also called bilateralsymmetry. CONFIDENTIAL

14. Figures can have any number of lines of symmetry, from no lines of symmetry to an infinite, or unlimited, number of lines of symmetry. No lines of symmetry One line of symmetry Two lines of symmetry Infinite lines of symmetry The Line Symmetry is sometimes called ReflectionSymmetry or MirrorSymmetry. CONFIDENTIAL

15. Rotational Symmetry Rotational Symmetry: A figure has rotational symmetry if it can be rotated about a point less than a full turn to make the figure look the same as it did before the rotation. 3-Quarter turn Quarter turn Half turn With rotational Symmetry, the shape or image can be rotated clockwise or counterclockwise 180°and it still looks the same. CONFIDENTIAL

16. Point Symmetry Point Symmetry: is when every part has a matching part. * the same distance from the central point * but in the opposite direction. Point Symmetry is sometimes called Origin Symmetry, because the "Origin" is the central point about which the shape is symmetrical. CONFIDENTIAL

17. X S H N Z Same from Opposite Direction? Yes, pick a direction, and anything with Point Symmetry will look the same from the opposite direction, too. It looks the same Upside Down! (... or from any two opposite directions*) These Letters have Point Symmetry, too! CONFIDENTIAL

18. Symmetry exists all around us You can find symmetry in nature, architecture and art. CONFIDENTIAL

19. BREAK CONFIDENTIAL

20. GAME Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw-puzzles/12-piece-jigsaw/11-07-06-snowprincess.html CONFIDENTIAL

21. Assignments Write whether of figures are similar or not: 1) 2) 1) Similar 1) Similar 3) 2) Not Similar 3) Similar 4) 5) 4) Not Similar 5) Similar CONFIDENTIAL

22. Is the dotted line a line of symmetry: 6) 7) 7) no 6) yes 8) 8) yes 9) 10) 9) yes 10) no CONFIDENTIAL

23. Very Good! Let's Review Similar: Two shapes are Similar if the only difference is size. If one shape can become another using Resizing, then the shapes are Similar. Example: When two shapes are similar, then: • corresponding angles are equal, and • the lines are in proportion. CONFIDENTIAL

24. Review Sometimes it can be hard to see if two shapes are Similar, because you may need to turn, flip or slide one shape as well as resizing it. Resized and Reflected Resized and Rotated Resized These shapes are all Similar. If one shape can become another using Resizing, then the shapes are Similar. CONFIDENTIAL

25. Review Fold this picture in half. The two parts match exactly. This picture has “symmetry.” Line of symmetry Symmetry: When a picture or figure has symmetry, it can be folded in half so that the two parts match exactly. Where you fold the shape, or the fold line, is called the line of symmetry. CONFIDENTIAL

26. Review Line Symmetry A figure has line symmetry if it can be folded in half so that the two halves match exactly i.e. one halfof it is the mirror image of the other half. Line symmetry is also called bilateralsymmetry. CONFIDENTIAL

27. Review Figures can have any number of lines of symmetry, from no lines of symmetry to an infinite, or unlimited, number of lines of symmetry. No lines of symmetry One line of symmetry Two lines of symmetry Infinite lines of symmetry The Line Symmetry is sometimes called ReflectionSymmetry or MirrorSymmetry. CONFIDENTIAL

28. Review Rotational Symmetry Rotational Symmetry: A figure has rotational symmetry if it can be rotated about a point less than a full turn to make the figure look the same as it did before the rotation. 3-Quarter turn Quarter turn Half turn With rotational Symmetry, the shape or image can be rotated clockwise or counterclockwise 180°and it still looks the same. CONFIDENTIAL

29. Review Point Symmetry Point Symmetry: is when every part has a matching part. * the same distance from the central point * but in the opposite direction. Point Symmetry is sometimes called Origin Symmetry, because the "Origin" is the central point about which the shape is symmetrical. CONFIDENTIAL

30. X S H N Z Review Same from Opposite Direction? Yes, pick a direction, and anything with Point Symmetry will look the same from the opposite direction, too. It looks the same Upside Down! (... or from any two opposite directions*) These Letters have Point Symmetry, too! CONFIDENTIAL

31. Review Symmetry exists all around us You can find symmetry in nature, architecture and art. CONFIDENTIAL

32. You have done a nice job. See you in the next session. CONFIDENTIAL