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 shape is translated by the vector . The point P(6, 1) lies on the shape. Write down the coordinates of the image of P.
- 2.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 3.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 4.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.
- 5.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.
- 6.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 7.Rectangle ABCD has vertices A(−1, 2), B(4, 2), C(4, 5) and D(−1, 5). The rectangle is translated so that C moves to (0, −1). Write down the coordinates of the image of A.
- 8.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 9.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 10.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 11.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.
- 12.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 13.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 14.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 15.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
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