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 then by the vector . Write down the single column vector that has the same effect as those two translations together.
- 2.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.
- 3.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 4.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 5.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 6.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 7.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 8.Vector A is and vector B is . Write down how vector B compares to vector A.
- 9.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.
- 10.A crane's hook starts at the point (3.4, 9.5) on a construction site plan measured in metres. It moves along the vector to pick up a beam, then along the vector to place it. Work out the single column vector that describes the hook's overall movement from its start position to where it places the beam.
- 11.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.
- 12.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 13.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.
- 14.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 15.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.
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