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 is described by the column vector . Write down the column vector of the translation that undoes it.
- 2.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.
- 3.A point is translated twice by the vector . Write down the single column vector that describes the overall translation.
- 4.Vector A is and vector B is . Write down how vector B compares to vector A.
- 5.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 6.A pin on a map is at grid reference (5, 2). It is moved by the vector . Write down its new grid reference.
- 7.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 8.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 9.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.
- 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.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.
- 13.Write down the column vector, from the options given, that would move a point to the right and downwards.
- 14.The column vector describes a translation. Write down the movement it represents.
- 15.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.
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