Math(F5) Transformation Iii
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The document discusses combining two isometric transformations and determining the image of an object after the transformations are applied. It provides examples of combining translation, reflection, and rotation transformations. The key points are: combining two transformations means applying the second transformation after the first; the final image after combining transformations will be the same size and shape as the original object. Worked examples are provided to illustrate combining transformations including translation, reflection, and rotation.
Math(F5) Transformation Iii
- 2. REFLECTION
- 3. TRANSLATION
- 4. ROTATION
- 6. TESSELATION PATTERN Combine transformations
- 7. Learning Outcome Determine the image of an object under combination of two isometric transformation
- 8. Combined Transformation The combined transformation AB means transformation B followed by transformation A
- 9. EXAMPLE:
- 10. The diagram shows triangles I, II, III and IV which are the images of A. Given, T is a translation , P is a reflection in the line x = 6, and R is a rotation through 90º clockwise about the origin Determine the image of triangle A under the following combine transformation. a) TP b) PR c) RT d) TT
- 11. ANSWER (a) III (b) I (c) IV (d) II
- 12. Notes: When we combine two isometric transformations , the final image is exactly the same in size and shape as the object.
- 13. ACTIVITY
- 14. WORKSHEET 2 Transformation U represents the translation Transformation V represents the reflection in the line x = 2. Transformation W represents the rotation through 180º anticlockwise about the origin. Determine the image of object Q under the following combine transformation. (i) VW (ii) UU (iii) UV (iv) WU
- 16. ANSWER (i) V (ii) III (iii) I (iv) IV
- 17. SUMMARY Combined Two Isometric Transformation - Reflects object at line x or y If - x positive, move to the right at x –axis and otherwise - y positive, move to the above at y axis and otherwise - rotate 90º, 180°,270°, and 360° - clockwise or anti-clockwise - respect to origin. Translation Reflection Rotation
- 18. When we combine two isometric transformations Final image object Same in size
- 19. THE END!!!