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# Math(F5) Transformation Iii

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### Math(F5) Transformation Iii

1. 1. MODERN MATHEMATICS FORM 5
2. 2. <ul><li>REFLECTION </li></ul>
3. 3. TRANSLATION
4. 4. ROTATION
5. 5. TRANSFORMATION III
6. 6. TESSELATION PATTERN Combine transformations
7. 7. Learning Outcome <ul><li>Determine the image of an object under combination of two isometric transformation </li></ul>
8. 8. Combined Transformation <ul><li>The combined transformation AB means transformation B followed by transformation A </li></ul>
9. 9. EXAMPLE:
10. 10. <ul><li>The diagram shows triangles I, II, III and IV which are the images of A. </li></ul><ul><li>Given, </li></ul><ul><li>T is a translation , </li></ul><ul><li>P is a reflection in the line x = 6, and </li></ul><ul><li>R is a rotation through 90º clockwise about the origin </li></ul><ul><li>Determine the image of triangle A under the following combine transformation. </li></ul><ul><li>a) TP b) PR c) RT d) TT </li></ul>
11. 11. ANSWER <ul><li>(a) III </li></ul><ul><li>(b) I </li></ul><ul><li>(c) IV </li></ul><ul><li>(d) II </li></ul>
12. 12. Notes: <ul><li>When we combine two isometric transformations , the final image </li></ul><ul><li>is exactly the same in size and shape as the object. </li></ul>
13. 13. ACTIVITY
14. 14. WORKSHEET 2 <ul><li>Transformation U represents the translation </li></ul><ul><li>Transformation V represents the reflection in the line x = 2. </li></ul><ul><li>Transformation W represents the rotation through 180º anticlockwise about the origin. </li></ul><ul><li>Determine the image of object Q under the following combine transformation. </li></ul><ul><li>(i) VW (ii) UU (iii) UV (iv) WU </li></ul>
15. 16. ANSWER <ul><li>(i) V </li></ul><ul><li>(ii) III </li></ul><ul><li>(iii) I </li></ul><ul><li>(iv) IV </li></ul>
16. 17. SUMMARY <ul><li>Combined Two </li></ul><ul><li>Isometric Transformation </li></ul>- 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
17. 18. <ul><li>When we combine two isometric transformations </li></ul>Final image object Same in size
18. 19. <ul><li>THE END!!! </li></ul>