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 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.
- 2.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 3.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 4.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 5.Vector A is and vector B is . Write down how vector B compares to vector A.
- 6.The column vector describes a translation. Write down the movement it represents.
- 7.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 8.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 9.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?
- 10.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.
- 11.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 12.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.
- 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.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.
- 15.In a phone game, a character starts at the point (−5, 2) on a grid. It moves by the vector to collect a coin. The player now wants the character's next single move to finish at the point (3, 0). Write down the column vector of that second move.
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