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 A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this 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.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 4.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 5.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 6.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.
- 7.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.
- 8.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.
- 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.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 11.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.
- 12.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 13.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 14.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 15.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.
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