Representing Translations with Vectors · CSEC Mathematics

12 past-paper questions on Representing Translations with Vectors, part of GEOMETRY AND TRIGONOMETRY, from every CSEC Mathematics paper on Quelpr.

1. Q551 mark · multiple choice· CSEC Mathematics · January 2011 · Paper 1In the diagram above, the translation by which AB is mapped onto A'B' is represented by
2. Q551 mark · multiple choice· CSEC Mathematics · January 2013 · Paper 1In the diagram, the translation by which AB is mapped onto A'B' is represented by
3. Q581 mark · multiple choice· CSEC Mathematics · May/June 2015 · Paper 1Item 58 refers to the diagram below. In the diagram, the translation by which AB is mapped onto A'B' is represented by
4. Q531 mark · multiple choice· CSEC Mathematics · May/June 2016 · Paper 1The image of a point P(1, 2) under a translation is P'(-5, -4). What is the translation vector?
5. 4(b)(ii)2 marks· Mathematics Q4 4(b)(ii)On the same diagram, on your answer sheet, draw E''F''G''H'', the image of EFGH after a translation by the vector \begin{pmatrix} -6 \\ 1 \end{pmatrix}.
6. 5(iii)2 marks· Mathematics Q5 5(iii)Using vector notation, describe the transformation which maps ΔLMN onto ΔPQR.
7. 6(b)(i)2 marks· Mathematics Q6 6(b)(i)State, in the form (x y), the vector which represents the translation.
8. 6(b)(iii)7 marks· Mathematics Q6 6(b)(iii)Draw the image of triangle A after a translation by the vector (2, -4). Label it C.
9. 14(b)(iii)1 mark· Mathematics Q14 14(b)(iii)Write down the 2x1 matrix, T, which represents a translation of -3 units parallel to the x-axis and 5 units parallel to the y-axis.
10. 14(c)(ii)(a)3 marks· Mathematics Q14 14(c)(ii)(a)Calculate the coordinates of G'.
11. 14(c)(ii)(b)3 marks· Mathematics Q14 14(c)(ii)(b)Under the same transformation, H(p, q) is mapped onto H'(2, 6). Calculate the values of p and q.
12. 14(d)3 marks· Mathematics Q14 14(d)Determine the values of r and s.