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.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 2.A courier drone delivers a parcel. It starts at the point (2, 1) on a map grid measured in kilometres. It flies by the vector to a warehouse, then by the vector to the delivery address. Work out the coordinates of the delivery address.
- 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 and then by the vector . Write down the single column vector that has the same effect as those two translations together.
- 5.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.
- 6.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 7.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.
- 8.The column vector describes a translation. Write down the movement it represents.
- 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 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.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 12.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.
- 13.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 14.Vector A is and vector B is . Write down how vector B compares to vector A.
- 15.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.
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