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.
Translations as vectors worksheet — GCSE Foundation
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- 1.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 2.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 3.Vector A is and vector B is . Write down how vector B compares to vector A.
- 4.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 5.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 6.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 7.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 8.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?
- 9.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.
- 10.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.
- 11.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.
- 12.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.
- 13.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 14.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 15.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.
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