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.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 2.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.
- 3.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 4.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 5.Rectangle ABCD has vertices A(−1, 2), B(4, 2), C(4, 5) and D(−1, 5). The rectangle is translated so that C moves to (0, −1). Write down the coordinates of the image of A.
- 6.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.
- 7.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 8.The column vector describes a translation. Write down the movement it represents.
- 9.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 10.A crane's hook starts at the point (3.4, 9.5) on a construction site plan measured in metres. It moves along the vector to pick up a beam, then along the vector to place it. Work out the single column vector that describes the hook's overall movement from its start position to where it places the beam.
- 11.A shape is translated by the vector and then by the vector . Write down the single column vector that has the same effect as those two translations together.
- 12.A courier drone delivers a parcel. It starts at the point (2, 1) on a map grid measured in kilometres. It flies by the vector to a warehouse, then by the vector to the delivery address. Work out the coordinates of the delivery address.
- 13.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 14.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 15.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
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