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 , 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.
- 2.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 3.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.
- 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.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.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.
- 7.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 8.Vector A is and vector B is . Write down how vector B compares to vector A.
- 9.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 10.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 11.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 12.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 13.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 14.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.
- 15.Write down the column vector, from the options given, that would move a point to the right and downwards.
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