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Math(F5) Transformation Iii

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Transcript

  • 1. MODERN MATHEMATICS FORM 5
  • 2.
    • REFLECTION
  • 3. TRANSLATION
  • 4. ROTATION
  • 5. TRANSFORMATION III
  • 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
  • 15.  
  • 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!!!