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.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.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.
- 3.A translation is described by the column vector . Write down the column vector of the translation that undoes it.
- 4.A student says the reverse of the translation vector is . Write down the correct reverse translation vector.
- 5.Vector A is and vector B is . Write down how vector B compares to vector A.
- 6.The column vector describes a translation. Write down the movement it represents.
- 7.The point A(2, 5) is translated to the point B(7, 3). Write down the column vector that describes this translation.
- 8.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.
- 9.The vector describes a translation. A student writes it as by mistake. Write down what error the student has made.
- 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, from the options given, that would move a point to the right and downwards.
- 12.After a translation by the vector , a point lands on (4, 1). Write down the coordinates of the point before the translation.
- 13.The point R(−6, 9) is translated by the vector . Write down the coordinates of the image of R.
- 14.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.
- 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.