HL AI Geometrical Transformations

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Please note that vectors should be column form, but for this form due to formatting issues a row has been used.

1. Describe fully the transformation shown below.

1 point

Reflection in the y-axis

Reflection in the line x=1

Reflection in the x-axis

Rotation by 180 degrees about (0,0)

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2. Describe fully the transformation shown below.

1 point

Translation by the vector (4, 3)

Translation by the vector (3,4)

Reflection in the line y=x

Translation by the vector (-4,-3)

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3. Describe fully the transformation shown below.

1 point

Reflection in the x-axis

Translation by the vector (0,-4)

Reflection in the line x=2

Reflection in the line y=2

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4. Describe fully the transformation shown below.

1 point

Rotation through 90 degrees clockwise about (1,1)

Rotation through 90 degrees clockwise about (0,0)

Rotation through 90 degrees anti-clockwise about (0,0)

Reflection in the line y=x

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5. Describe fully the transformation shown below.

1 point

Enlargement the scale factor 2 with centre (0,0).

Enlargement the scale factor 2 with centre (1,0).

Enlargement the scale factor 3 with centre (0,0).

Enlargement the scale factor 1/3 with centre (0,0).

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6. Describe fully the transformation shown below.

1 point

Stretch horizontally by 3 units.

Stretch vertically by 3 units.

Stretch vertically by 4 units.

Stretch horizontally by 4 units.

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7. Describe fully the transformation shown below.

1 point

Translation by the vector (-1,-3)

Translation by the vector (-3,-1)

Translation by the vector (3,1)

Translation by the vector (1,3)

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8. Describe fully the transformation shown below.

1 point

Translation by the vector (6,0)

Reflection in the y-axis

Reflection in the x-axis

Rotation by 180 degrees about (0,0)

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9. Describe fully the transformation shown below.

1 point

Enlargement the scale factor 2 with centre (0,0).

Enlargement the scale factor 2 with centre (1,1).

Enlargement the scale factor 3 with centre (1,1).

Enlargement the scale factor 3 with centre (0,0).

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10. Describe fully the transformation shown below.

1 point

Stretch horizontally by 2 units.

Stretch vertically by 3 units.

Stretch horizontally by 3 units.

Stretch vertically by 2 units.

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11. Describe fully the transformation shown below.

1 point

Reflection in the line y=-1

Reflection in the line y-axis

Reflection in the line x=-1

Translation by the vector (-6,0)

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12. Describe fully the transformation shown below.

1 point

Enlargement the scale factor -2 with centre (0,0).

Enlargement the scale factor -1/2 with centre (0,0).

Enlargement the scale factor 2 with centre (0,0).

Enlargement the scale factor 1/2 with centre (0,0).

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13. Describe fully the transformation shown below.

1 point

Rotation about 180 degrees about (6,6)

Reflection in the line y=x

Rotation about 90 degrees clockwise about (6,6)

Reflection in the line y=-x

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14. Describe fully the transformation shown below.

1 point

Reflection in the line y=-x

Rotation through 90 degrees anti-clockwise about (0,0)

Rotation through 90 degrees clockwise about (0,0)

Reflection in the line y=x

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15. Describe fully the transformation shown below.

1 point

Rotation by 90 degrees about (0,0)

Rotation by 180 degrees about (0,0)

Reflection in the line y=-x

Reflection in the line y=x

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16. Describe fully the transformation shown below.

1 point

Enlargement the scale factor -1/3 with centre (0,0).

Enlargement the scale factor -3 with centre (0,0).

Enlargement the scale factor 3 with centre (0,0).

Enlargement the scale factor 1/3 with centre (0,0).

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17. Describe fully the transformation shown below.

1 point

Translation by the vector (0,-7)

Translation by the vector (7,0)

Translation by the vector (-7,0)

Translation by the vector (0,7)

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18. Describe fully the transformation shown below.

1 point

Reflection in the line y=-x

Rotation through 180 degrees about the origin

Reflection in the line y=x

Rotation through 90 degrees clockwise about the origin

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19. Describe fully the transformation shown below.

1 point

Enlargement the scale factor -2 with centre (0,0).

Enlargement the scale factor -1/2 with centre (0,0).

Enlargement the scale factor 1/2 with centre (0,0).

Enlargement the scale factor 2 with centre (0,0).

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20. Describe fully the transformation shown below.

1 point

Reflection in the line y=-x

Reflection in the line y=x

Rotation through 45 degrees anti-clockwise about the origin

Rotation through 45 degrees clockwise about the origin

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