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Transformations sailing boat v2.1

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alan brown

The document describes 5 geometric transformations: A) translation by the vector -4,15; B) reflection in the line y=0; C) 90 degree anticlockwise rotation about the point (5,16); D) 180 degree rotation about the point (0,3.5); and E) enlargement by a scale factor of 2 about the point (-7,11).

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Transformations sailing boat v2.1
16 y 15 14 13 12 11 10 9 E 8 7 6 5 D 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 Transformations -2 -3 A. Translate by the vector -4 -4 15 -5 B A B. Reflect in the line y=0 -6 -7 C. Rotate 90o anticlockwise, about centre of rotation (5,16) -8 -9 o D. Rotate 180 Centre of rotation (0, 3.5) -10 -11 E. Enlarge by scale factor 2. Centre of enlargement ( -7, 11) -12 -13
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16 y 15 14 13 12 11 10 9 E 8 7 6 5 D 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 Transformations -2 -3 A. Translate by the vector -4 -4 15 -5 B B A B. Reflect in the line y=0 -6 -7 C. Rotate 90o anticlockwise, about centre of rotation (5,16) -8 -9 o D. Rotate 180 Centre of rotation (0, 3.5) -10 -11 E. Enlarge by scale factor 2. Centre of enlargement ( -7, 11) -12 -13
16 y 15 14 13 12 11 10 9 8 7 6 5 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13
16 y 15 14 13 12 11 10 9 E 8 7 6 5 D 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 Transformations -2 -3 A. Translate by the vector -4 -4 15 -5 B B A B. Reflect in the line y=0 -6 -7 C. Rotate 90o anticlockwise, about centre of rotation (5,16) -8 -9 o D. Rotate 180 Centre of rotation (0, 3.5) -10 -11 E. Enlarge by scale factor 2. Centre of enlargement ( -7, 11) -12 -13
16 y 15 14 13 12 11 10 9 E 8 7 6 5 D 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 Transformations -2 -3 A. Translate by the vector -4 -4 15 -5 B B A B. Reflect in the line y=0 -6 -7 C. Rotate 90o anticlockwise, about centre of rotation (5,16) -8 -9 o D. Rotate 180 Centre of rotation (0, 3.5) -10 -11 E. Enlarge by scale factor 2. Centre of enlargement ( -7, 11) -12 -13

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Transformations sailing boat v2.1

  • 2. 16 y 15 14 13 12 11 10 9 E 8 7 6 5 D 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 Transformations -2 -3 A. Translate by the vector -4 -4 15 -5 B A B. Reflect in the line y=0 -6 -7 C. Rotate 90o anticlockwise, about centre of rotation (5,16) -8 -9 o D. Rotate 180 Centre of rotation (0, 3.5) -10 -11 E. Enlarge by scale factor 2. Centre of enlargement ( -7, 11) -12 -13
  • 4. 16 y 15 14 13 12 11 10 9 E 8 7 6 5 D 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 Transformations -2 -3 A. Translate by the vector -4 -4 15 -5 B B A B. Reflect in the line y=0 -6 -7 C. Rotate 90o anticlockwise, about centre of rotation (5,16) -8 -9 o D. Rotate 180 Centre of rotation (0, 3.5) -10 -11 E. Enlarge by scale factor 2. Centre of enlargement ( -7, 11) -12 -13
  • 5. 16 y 15 14 13 12 11 10 9 8 7 6 5 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13
  • 6. 16 y 15 14 13 12 11 10 9 E 8 7 6 5 D 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 Transformations -2 -3 A. Translate by the vector -4 -4 15 -5 B B A B. Reflect in the line y=0 -6 -7 C. Rotate 90o anticlockwise, about centre of rotation (5,16) -8 -9 o D. Rotate 180 Centre of rotation (0, 3.5) -10 -11 E. Enlarge by scale factor 2. Centre of enlargement ( -7, 11) -12 -13
  • 7. 16 y 15 14 13 12 11 10 9 E 8 7 6 5 D 4 3 2 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 0 1 2 3 4 5 6 7 8 9 10 11 x 12 -1 Transformations -2 -3 A. Translate by the vector -4 -4 15 -5 B B A B. Reflect in the line y=0 -6 -7 C. Rotate 90o anticlockwise, about centre of rotation (5,16) -8 -9 o D. Rotate 180 Centre of rotation (0, 3.5) -10 -11 E. Enlarge by scale factor 2. Centre of enlargement ( -7, 11) -12 -13