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.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 2.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 3.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.
- 4.A robotic arm's tip starts at the point (12.5, −4.25) on a grid measured in centimetres. It moves by the vector to pick up a component, then by the vector to place it. Work out the coordinates of the tip after both moves.
- 5.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.
- 6.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.
- 7.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?
- 8.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.
- 9.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 10.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 11.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 12.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 13.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.
- 14.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.
- 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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