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.Vector A is and vector B is . Write down how vector B compares to vector A.
- 2.A robot on a grid moves by the vector , then by the vector , then by the vector . Write down the single column vector that has the same overall effect as these three moves.
- 3.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 4.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.
- 5.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 6.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 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.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?
- 9.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 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.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 12.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 13.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 14.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 15.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.
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