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.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.
- 2.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 3.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 4.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 5.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 6.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.
- 7.The column vector describes a translation. Write down the movement it represents.
- 8.Vector A is and vector B is . Write down how vector B compares to vector A.
- 9.In a phone game, a character starts at the point (−5, 2) on a grid. It moves by the vector to collect a coin. The player now wants the character's next single move to finish at the point (3, 0). Write down the column vector of that second move.
- 10.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.
- 11.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.
- 12.Vertex X of a triangle is at (−3, 5). After a translation, the image of X is at (2, −1). Write down the column vector of this translation.
- 13.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.
- 14.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.
- 15.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
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