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.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.
- 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 pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 4.The column vector describes a translation. Write down the movement it represents.
- 5.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.
- 6.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.
- 7.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 8.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 9.A drone starts at the point (3.5, −2) on a grid measured in metres. It flies by the vector to check a first sensor. The drone then needs to fly in a straight line to reach the point (−1.7, 9) to check a second sensor. Work out the column vector of this second flight.
- 10.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 11.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 12.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 13.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.
- 14.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.
- 15.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
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