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 point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 2.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.
- 3.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.
- 4.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 5.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 6.A robot on a grid moves by the vector , then by the vector , then by the vector . Write down the single column vector that has the same overall effect as these three moves.
- 7.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.
- 8.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 9.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 10.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.
- 11.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 12.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.
- 13.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 14.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 15.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
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