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 point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 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.Vector A is and vector B is . Write down how vector B compares to vector A.
- 4.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.
- 5.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.
- 6.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 7.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 8.A translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 9.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 10.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.
- 11.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.
- 12.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.
- 13.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.
- 14.The column vector describes a translation. Write down the movement it represents.
- 15.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
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