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 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.
- 2.Vector A is and vector B is . Write down how vector B compares to vector A.
- 3.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 4.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 5.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 6.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 7.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 8.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.
- 9.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.
- 10.The point M(3, 8) is translated by the vector . Write down the coordinates of the image of M.
- 11.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.
- 12.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.
- 13.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.
- 14.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 15.Write down the column vector, from the options given, that would move a point to the right and downwards.
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