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 translation moves the point (1, 1) to the point (9, 4). Write down the column vector of this translation.
- 2.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 3.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.
- 4.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 5.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.
- 6.A robotic arm's tip starts at the point (12.5, −4.25) on a grid measured in centimetres. It moves by the vector to pick up a component, then by the vector to place it. Work out the coordinates of the tip after both moves.
- 7.A drone starts at the point (2, −3) on a coordinate grid. It flies by the vector and then by the vector . Write down the column vector that would take the drone straight back to its starting point.
- 8.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.
- 9.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 10.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 11.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 12.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 13.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 14.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.
- 15.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.
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