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.
Non-calculator
Translations as vectors worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 2.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.
- 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 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.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 6.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.
- 7.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 8.Vector A is and vector B is . Write down how vector B compares to vector A.
- 9.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 10.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.
- 11.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 12.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 13.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 14.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?
- 15.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
Build your own mix at the worksheet builder.