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 point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 2.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 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 student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 5.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 6.A drone starts at the point (3.5, −2) on a grid measured in metres. It flies by the vector to check a first sensor. The drone then needs to fly in a straight line to reach the point (−1.7, 9) to check a second sensor. Work out the column vector of this second flight.
- 7.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 8.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.
- 9.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 10.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.
- 11.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.
- 12.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 13.Vector A is and vector B is . Write down how vector B compares to vector A.
- 14.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 15.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
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