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Geometric Transformations

Geometric Transformations. Congruent and Similar Figures. Congruent Figures. Congruent figures have the same size and shape . They have corresponding sides that are congruent. They have corresponding angles that are congruent. These trapezoids are congruent.

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Geometric Transformations

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  1. Geometric Transformations

  2. Congruent and Similar Figures

  3. Congruent Figures • Congruent figures have the same size and shape. • They have corresponding sides that are congruent. • They have corresponding angles that are congruent. These trapezoids are congruent.

  4. Triangle ACB is congruent to Triangle XZY. <A corresponds to <X Side BC corresponds with side YZ.

  5. Similar Figures • Similar figures have the same shape but not necessarily the same size. • They have corresponding angles that are congruent. • They have corresponding sides that are proportional.

  6. To see if a figure is similar to another, check to see whether the sides are proportional.

  7. Symmetry Rotation Translation Reflection

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

  9. 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.

  10. United States of America Canada Maryland England Which of these flags have a line of symmetry? No No

  11. - What about these math symbols? Do they have symmetry? + - Yes Yes x Yes Yes

  12. How many lines of symmetry do these regular polygons have? 5 4 3 Do you see a pattern? 8 6

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

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

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

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

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

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

  19. 1. Reflection, Rotation, or Translation

  20. 2. Reflection, Rotation, or Translation

  21. 3. Reflection, Rotation, or Translation

  22. 4. Reflection, Rotation, or Translation

  23. 5. Reflection, Rotation, or Translation

  24. 6. Reflection, Rotation, or Translation

  25. 7. Reflection, Rotation, or Translation

  26. 8. Reflection, Rotation, or Translation

  27. 9. Reflection, Rotation, or Translation

  28. 10. Why is this not perfect reflection?

  29. 11. Reflection, Rotation, or Translation

  30. 12. Reflection, Rotation, or Translation

  31. 13. Reflection, Rotation, or Translation

  32. 14. Reflection, Rotation, or Translation

  33. 15. Reflection, Rotation, or Translation

  34. 16. Reflection, Rotation, or Translation

  35. 17. Reflection, Rotation, or Translation

  36. 18. Reflection, Rotation, or Translation

  37. Reflection, Rotation, or Translation 19.

  38. 20. Reflection, Rotation, or Translation

  39. 21. Reflection, Rotation, or Translation

  40. 22. Reflection, Rotation, or Translation

  41. Homework Time!

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