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
MathsUKwww.geekhero.co.uk
- 1.The column vector describes a translation. Write down the movement it represents.
- 2.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 3.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.
- 4.Write down the column vector that describes a translation of 5 units to the left and 3 units down.
- 5.A translation is described by the column vector . Write down a description of this translation in words, stating the horizontal and vertical movement.
- 6.Vector A is and vector B is . Write down how vector B compares to vector A.
- 7.A courier drone delivers a parcel. It starts at the point (2, 1) on a map grid measured in kilometres. It flies by the vector to a warehouse, then by the vector to the delivery address. Work out the coordinates of the delivery address.
- 8.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.
- 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.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 11.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 12.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 13.Write down the column vector that describes a translation of 4 units to the right and 4 units up.
- 14.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.
- 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.
Build your own mix at the worksheet builder.