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 point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 2.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?
- 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.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.
- 5.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 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.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.
- 8.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.
- 9.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.
- 10.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.
- 11.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 12.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.
- 13.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 14.Vector A is and vector B is . Write down how vector B compares to vector A.
- 15.Write down the column vector, from the options given, that would move a point to the right and downwards.
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