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.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.
- 2.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 3.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.
- 4.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 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 point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 7.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 8.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 9.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 10.Vector A is and vector B is . Write down how vector B compares to vector A.
- 11.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.
- 12.A shape is translated by the vector . The point P(6, 1) lies on the shape. Write down the coordinates of the image of P.
- 13.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.
- 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 crane's hook starts at the point (3.4, 9.5) on a construction site plan measured in metres. It moves along the vector to pick up a beam, then along the vector to place it. Work out the single column vector that describes the hook's overall movement from its start position to where it places the beam.
Build your own mix at the worksheet builder.