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