1. Geometric Transformations

2. Symmetry Rotation Translation Reflection

3. Symmetry A line on which a figure can be folded so that both sides match.

4. To be a line of symmetry, the shape must have two halves that match exactly. When you trace a heart onto a piece of folded paper, and then cut it out, the two half hearts make a whole heart. The two halves are symmetrical.

5. Which of these flags have a line of symmetry? United States of AmericaCanada MarylandEngland

6. What about these math symbols? Do they have symmetry?

7. How many lines of symmetry do these regular polygons have? Do you see a pattern?

8. Rotation (Turn) The action of turning a figure around a point or a vertex.

9. Click the triangle to see rotation Turning a figure around a point or a vertex

10. Translation (Slide) The action of sliding a figure in any direction.

11. The act of sliding a figure in any direction. Click the Octagon to see Translation.

12. Reflection (flip) The result of a figure flipped over a line.

13. Click on this trapezoid to see reflection. The result of a figure flipped over a line.

14. Reflection, Rotation, or Translation 1.

15. Reflection, Rotation, or Translation 2.

16. Reflection, Rotation, or Translation 3.

17. Reflection, Rotation, or Translation 4.

18. Reflection, Rotation, or Translation 5.

19. Reflection, Rotation, or Translation 6.

20. Reflection, Rotation, or Translation 7.

21. Reflection, Rotation, or Translation 8.

22. Reflection, Rotation, or Translation 9.

23. Why is this not perfect reflection? 10.

24. Reflection, Rotation, or Translation 11.

25. Reflection, Rotation, or Translation 12.

26. Reflection, Rotation, or Translation 13.

27. Reflection, Rotation, or Translation 14.

28. Reflection, Rotation, or Translation 15.

29. Reflection, Rotation, or Translation 16.

30. Reflection, Rotation, or Translation 17.

31. Reflection, Rotation, or Translation 18.

32. Reflection, Rotation, or Translation 19.

33. Reflection, Rotation, or Translation 20.

34. Reflection, Rotation, or Translation 21.

35. Reflection, Rotation, or Translation 22.

36. Homework Time!