Image and Object Location (Transformations) · CSEC Mathematics

71 past-paper questions on Image and Object Location (Transformations), part of GEOMETRY AND TRIGONOMETRY, from every CSEC Mathematics paper on Quelpr.

1. 6(c)(i)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2On the answer sheet provided, draw the image of Triangle C after a reflection in the x-axis and label this triangle D.
2. 6(c)(ii)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2On the answer sheet provided, draw the image of Triangle B under the translation T = \begin{pmatrix} -1 \\ -4 \end{pmatrix}, and label this triangle E.
3. 8(a)2 marks· CSEC Mathematics · 2009 (second paper) · Paper 2Write down the coordinates of A and A'.
4. 3(b)(iii)1 mark· CSEC Mathematics · 2021 · Paper 2On the diagram on page 10, translate Triangle Y using the vector \begin{pmatrix}-7 \\ 1\end{pmatrix}. Label this image V.
5. 3(b)(iv)2 marks· CSEC Mathematics · 2021 · Paper 2On the diagram on page 10, enlarge Triangle X about the centre, C(0, 0), and scale factor \frac{1}{2}. Label this image W.
6. 3(b)1 mark· CSEC Mathematics · 2022 · Paper 2On the grid provided on page 10, draw the image of shape P after a translation by the vector \begin{pmatrix}-2\\3\end{pmatrix}. Label this image T.
7. 10(a)(i)1 mark· CSEC Mathematics · 2022 · Paper 2Write the coordinates of P', the image of the point P(7, 11) after it undergoes a rotation by 90^\circ anticlockwise about the origin, O.
8. Q571 mark · multiple choice· CSEC Mathematics · January 2011 · Paper 1The triangle LMN is rotated in a clockwise direction about L through an angle of 90^\circ. What is its image?
9. Q581 mark · multiple choice· CSEC Mathematics · January 2011 · Paper 1In the diagram above, if the line y = x is rotated anti-clockwise about O through 90^\circ, what is its image?
10. Q561 mark · multiple choice· CSEC Mathematics · January 2014 · Paper 1The image of a point P(-2, 3) under a translation \begin{pmatrix} 3 \\ 4 \end{pmatrix} is
11. Q581 mark · multiple choice· CSEC Mathematics · May/June 2011 · Paper 1The triangle LMN is rotated in a clockwise direction about L through an angle of 90^\circ. What is its image?
12. Q571 mark · multiple choice· CSEC Mathematics · May/June 2012 · Paper 1The image of a point P(-2, 3) under a translation \begin{pmatrix} 3 \\ 4 \end{pmatrix} is
13. Q551 mark · multiple choice· CSEC Mathematics · May/June 2013 · Paper 1The image of the point P(-3, 2) under the translation \begin{pmatrix} 2 \\ 1 \end{pmatrix} is
14. 3(b)(i)2 marks· Mathematics Q3 3(b)(i)On the diagram, draw and label triangle LMN.
15. 3(b)(i)1 mark· Mathematics Q3 3(b)(i)State the coordinates of the point Q.
16. 3(b)(ii)2 marks· Mathematics Q3 3(b)(ii)The line PQ is mapped to P'Q' by an enlargement, centre O and scale factor 3. On the diagram above, draw the line P'Q'.
17. 3(b)(iii)2 marks· Mathematics Q3 3(b)(iii)The Δ OPQ undergoes a reflection in the line y = 0 to produce the image O''P''Q''. On the diagram above, draw the Δ O''P''Q''.
18. 4(b)(i)2 marks· Mathematics Q4 4(b)(i)Perform a reflection of the quadrilateral EFGH in the line y = x. Label the images of E, F, G, H as E', F', G', H' respectively.
19. 5(a)3 marks· Mathematics Q5 5(a)On graph paper, draw the x-axis and the y-axis. Using a scale of 1 cm to represent 1 unit on both axes, draw the triangle DEF with vertices D (1, 1), E (3, 1) and F(1, 4).
20. 5(a)(i)3 marks· Mathematics Q5 5(a)(i)On the answer sheet provided, draw triangle A'B'C', the image of triangle ABC, under an enlargement, centre O and scale factor 2.
21. 5(b)3 marks· Mathematics Q5 5(b)Draw the image of triangle LMN after a reflection in the line x = 4 and label the image L'M'N'.
22. 5(b)(i)5 marks· Mathematics Q5 5(b)(i)Draw the image of ΔDEF under reflection in the line x = 4. Name the image ΔD'E'F'.
23. 5(b)(i)3 marks· Mathematics Q5 5(b)(i)Using a scale of 1 cm to represent 1 unit on both axes, draw the triangle ABC with vertices A(2,3), B(5,3) and C(3,6).
24. 5(b)(i)1 mark· Mathematics Q5 5(b)(i)Write down the coordinates of the vertices of ΔABC.
25. 5(b)(i)1 mark· Mathematics Q5 5(b)(i)State the coordinates of the point E.
26. 5(b)(i)4 marks· Mathematics Q5 5(b)(i)Draw the reflection of quadrilateral A in the mirror line, labelled M₁. Label its image B.
27. 5(b)(i)2 marks· Mathematics Q5 5(b)(i)State the coordinates of P and Q.
28. 5(b)(ii)1 mark· Mathematics Q5 5(b)(ii)Draw the image of ΔD'E'F' under the translation [0, -3]. Name the image D"E"F".
29. 5(b)(ii)4 marks· Mathematics Q5 5(b)(ii)Draw the reflection of quadrilateral B in the mirror line, labelled M₂. Label its image C.
30. 5(b)(ii)1 mark· Mathematics Q5 5(b)(ii)Write down the coordinates of the vertices of ΔA'B'C'.
31. 5(b)(ii)2 marks· Mathematics Q5 5(b)(ii)The translation vector T = [4, -5] maps Δ A'B'C' to Δ A''B''C''. On the diagram above, draw the Δ A''B''C''.
32. 5(b)(ii)3 marks· Mathematics Q5 5(b)(ii)Triangle RST is reflected in the line x = 6. On the graph above, draw triangle R'' S'' T'', the image of Δ RST, after the reflection. Write down the coordinates of R''.
33. 5(b)(ii)3 marks· Mathematics Q5 5(b)(ii)Determine the coordinates of the vertices of Δ A''B''C''.
34. 5(b)(iii)2 marks· Mathematics Q5 5(b)(iii)On the grid above, draw triangle D''E''F'', the reflection of triangle D'E'F' in the x-axis.
35. 5(b)(iii)2 marks· Mathematics Q5 5(b)(iii)Write down the coordinates of the images of P and Q under the translation (3, -6).
36. 5(b)(iv)1 mark· Mathematics Q5 5(b)(iv)Draw a new triangle A''B''C'' with vertices A''(-7,4), B''(-4,4) and C''(-6,7).
37. 5(b)(iv)3 marks· Mathematics Q5 5(b)(iv)On the graph on page 16, draw the line x = 1 AND the triangle A''B''C'', the image of triangle ABC after a reflection in the line x = 1.
38. 5(c)(i)2 marks· Mathematics Q5 5(c)(i)Draw the triangle L''M''N''.
39. 5(i)1 mark· Mathematics Q5 5(i)Write down the coordinates of N.
40. 5(ii)4 marks· Mathematics Q5 5(ii)On the grid above, draw ΔFGH, the reflection of ΔLMN in the y-axis.
41. 6(a)2 marks· Mathematics Q6 6(a)State the coordinates of the points R' and S'.
42. 6(a)2 marks· Mathematics Q6 6(a)Locate the centre of enlargement, showing your method clearly.
43. 6(a)1 mark· Mathematics Q6 6(a)State the coordinates of R.
44. 6(a)(ii)1 mark· Mathematics Q6 6(a)(ii)Draw and label the triangle L''M''N'' on your answer sheet.
45. 6(b)4 marks· Mathematics Q6 6(b)State the coordinates of the vertices of triangle C, the image of triangle A after a reflection in the line y = x.
46. 6(b)(i)2 marks· Mathematics Q6 6(b)(i)On the diagram above, draw ΔP'Q'R', a reflection of ΔPQR in the line y = 1.
47. 6(b)(i)1 mark· Mathematics Q6 6(b)(i)State the coordinates of the vertex, J, of triangle JKL.
48. 6(b)(i)7 marks· Mathematics Q6 6(b)(i)Draw a triangle with coordinates (2, 1), (3, 3) and (4, 3). Label it A.
49. 6(b)(ii)2 marks· Mathematics Q6 6(b)(ii)On the diagram above, draw ΔP''Q''R'', a reflection of ΔP'Q'R' in the line x = 0.
50. 6(b)(ii)2 marks· Mathematics Q6 6(b)(ii)On the answer sheet provided, draw triangle L''M''N'' the image of triangle LMN, after a translation by the vector (0, -3).
51. 6(b)(ii)7 marks· Mathematics Q6 6(b)(ii)Draw the image of triangle A after a reflection in the line y = -1. Label it B.
52. 6(b)(ii)a)4 marks· Mathematics Q6 6(b)(ii)a)Find and label on your answer sheet the point G, the centre of the enlargement. Show your method clearly.
53. 6(b)(ii)b)1 mark· Mathematics Q6 6(b)(ii)b)State the coordinates of G.
54. 6(b)(ii)b)4 marks· Mathematics Q6 6(b)(ii)b)On the answer sheet provided, draw and label S, the image of P under a reflection in the line y = x.
55. 6(b)(iii)2 marks· Mathematics Q6 6(b)(iii)Determine the coordinates of the image of the point L under this transformation.
56. 6(b)(iv)2 marks· Mathematics Q6 6(b)(iv)State the coordinates of triangle J''K''L'', the image of triangle JKL, under the translation by the vector [5, -3].
57. 6(c)3 marks· Mathematics Q6 6(c)On the answer sheet provided, draw and label quadrilateral P''Q''R''S'' which is the image of P'Q'R'S' after it has been reflected in the x-axis.
58. 6(d)2 marks· Mathematics Q6 6(d)Draw and label triangle ABC with coordinates (-4, 4), (-1, 4) and (-1, 2) respectively.
59. 7(i)2 marks· Mathematics Q7 7(i)Write down the coordinates of R and R'.
60. 7(iii)a)7 marks· Mathematics Q7 7(iii)a)On your answer sheet, draw triangle R''S''T'', the image of triangle RST under the enlargement.
61. 14(a)(i)5 marks· Mathematics Q14 14(a)(i)Reflect triangle P in the y-axis. Label its image Q.
62. 14(a)(ii)5 marks· Mathematics Q14 14(a)(ii)Draw the line y = x and reflect triangle Q in this line. Label its image R.
63. 14(a)(iv)3 marks· Mathematics Q14 14(a)(iv)Reflect triangle Q in the x-axis. Label its image S.
64. 14(b)(ii)3 marks· Mathematics Q14 14(b)(ii)Calculate the coordinates of the point C' which is the image of C (-2, 2) under T.
65. 14(b)(iii)3 marks· Mathematics Q14 14(b)(iii)Using your matrix in (b)(ii), determine the coordinates of the image of triangle ABC under this combined transformation.
66. 14(b)(iii)1 mark· Mathematics Q14 14(b)(iii)The point P (6, 2) is mapped onto P' by the transformation J. State the co-ordinates of P'.
67. 14(b)(iv)1 mark· Mathematics Q14 14(b)(iv)The point Q (5, -4) is mapped onto Q' by the transformation K. State the co-ordinates of Q'.
68. 14(c)(i)a)4 marks· Mathematics Q14 14(c)(i)a)Determine the value of k.
69. 14(c)(i)b)4 marks· Mathematics Q14 14(c)(i)b)Hence write down the coordinates of E' and F'.
70. 14(c)(ii)b)5 marks· Mathematics Q14 14(c)(ii)b)Determine the coordinates of D''E''F'', the image of D'E'F', under this rotation.
71. 14(c)(iv)8 marks· Mathematics Q14 14(c)(iv)Calculate the image of the point (6,-4) under the combined transformation in (c) (iii) above.