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.
Translations as vectors worksheet — GCSE Foundation
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- 1.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 2.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 3.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 4.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.
- 5.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 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.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 9.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.
- 10.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.
- 11.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 12.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?
- 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.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 15.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
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