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.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.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.
- 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 vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 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.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?
- 7.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 8.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 9.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 10.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 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 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.
- 14.The column vector describes a translation. Write down the movement it represents.
- 15.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.
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