Printable · GCSE Foundation · ages 14-16
Translations as vectors worksheet — GCSE Foundation
Fifteen questions on "translations as vectors" — DfE statement G24. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Translations as vectors worksheet — GCSE Foundation
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- 1.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 2.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 3.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 4.Quadrilateral ABCD has vertices A(1, 1), B(5, 1), C(5, 4) and D(1, 4). The quadrilateral is translated by the vector . Which of these points is NOT a vertex of the image?
- 5.A shape is translated by the vector . The point P(6, 1) lies on the shape. Write down the coordinates of the image of P.
- 6.A ship's radar shows a lighthouse at the point (12, −4) on a grid measured in nautical miles. The ship is at (2, 5). The ship sails along the vector that takes it directly to the lighthouse, then sails along that same vector again. Work out the ship's final position.
- 7.A robotic arm's tip starts at the point (12.5, −4.25) on a grid measured in centimetres. It moves by the vector to pick up a component, then by the vector to place it. Work out the coordinates of the tip after both moves.
- 8.A shape is translated by the vector , and one vertex of the image is at the point (1, 6). The original shape is instead translated by the vector . Work out the coordinates of the image of that same vertex under this second translation.
- 9.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 10.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 11.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 12.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 13.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 14.Vector A is and vector B is . Write down how vector B compares to vector A.
- 15.A drone starts at the point (2, −3) on a coordinate grid. It flies by the vector and then by the vector . Write down the column vector that would take the drone straight back to its starting point.
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