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.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.
- 2.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 3.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 4.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 5.Vector A is and vector B is . Write down how vector B compares to vector A.
- 6.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 7.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 8.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.
- 9.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.
- 10.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 11.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 12.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?
- 13.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 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.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.
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