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.A courier drone delivers a parcel. It starts at the point (2, 1) on a map grid measured in kilometres. It flies by the vector to a warehouse, then by the vector to the delivery address. Work out the coordinates of the delivery address.
- 3.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.
- 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 student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 6.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.
- 7.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 8.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.
- 9.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 10.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 11.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 12.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 13.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.
- 14.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 15.Vector A is and vector B is . Write down how vector B compares to vector A.
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