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.The column vector describes a translation. Write down the movement it represents.
- 2.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.
- 3.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 4.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 5.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 6.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.
- 7.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.
- 8.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 9.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 10.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 11.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.
- 12.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 13.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 14.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 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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