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Combined Transformations · CSEC Mathematics

20 past-paper questions on Combined Transformations, part of GEOMETRY AND TRIGONOMETRY, from every CSEC Mathematics paper on Quelpr.

Practise Combined Transformations
  1. 14(d)(i)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Describe COMPLETELY the single transformation represented by TS.
  2. 14(d)(ii)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Describe COMPLETELY the single transformation represented by ST.
  3. 8(c)5 marks· CSEC Mathematics · 2009 (second paper) · Paper 2On the answer sheet provided, draw and label A''B''C''D'', the image of A'B'C'D' after a reflection in the line x = 5.
  4. 10(a)(ii)2 marks· CSEC Mathematics · 2022 · Paper 2T is the combined transformation of A followed by B. Determine the elements of the matrix representing the transformation T.
  5. Q591 mark · multiple choice· CSEC Mathematics · January 2013 · Paper 1In the diagram, if the line y = x is rotated anti-clockwise about O through 90^\circ, what is its image?
  6. 5(b)(iii)2 marks· Mathematics Q5 5(b)(iii)Draw the image of triangle ABC under a reflection in the line y = 2. Label the image A'B'C'.
  7. 5(b)(iii)1 mark· Mathematics Q5 5(b)(iii)Name the type of transformation that maps ΔDEF onto ΔD"E"F".
  8. 5(b)(iii)2 marks· Mathematics Q5 5(b)(iii)State the transformation that maps Δ ABC onto Δ A''B''C''.
  9. 5(c)3 marks· Mathematics Q5 5(c)Complete the sentence in part (c) on your answer sheet, describing FULLY the single geometric transformation which maps quadrilateral A onto quadrilateral C.
  10. 5(iv)3 marks· Mathematics Q5 5(iv)Complete the following statement: ΔPQR is mapped onto ΔFGH by a combination of two transformations. First, ΔPQR is mapped onto ΔLMN by a ___________, parallel to the ___________; then ΔLMN is mapped onto ΔFGH by a…
  11. 6(b)(iii)3 marks· Mathematics Q6 6(b)(iii)Name and describe a combination of TWO transformations which may be used to map ΔL''M''N'' onto ΔL'M'N'.
  12. 6(d)2 marks· Mathematics Q6 6(d)Describe completely, the single transformation that maps quadrilateral PQRS onto P''Q''R''S''.
  13. 6(d)2 marks· Mathematics Q6 6(d)Triangle PQR undergoes an enlargement of scale factor 2. Calculate the area of its image.
  14. 10(a)(iii)a)2 marks· Mathematics Q10 10(a)(iii)a)Find the single 2 × 2 matrix that represents the combined transformation of T followed by P.
  15. 11(c)(ii)2 marks· Mathematics Q11 11(c)(ii)Determine the coordinates of the point (5, -7) under the combined transformation, H followed by J.
  16. 14(b)(ii)3 marks· Mathematics Q14 14(b)(ii)Determine the 2 x 2 matrix that represents the combined transformation of V followed by W.
  17. 14(b)(iv)1 mark· Mathematics Q14 14(b)(iv)Determine the coordinates of P' and P''.
  18. 14(c)(iii)4 marks· Mathematics Q14 14(c)(iii)Obtain the coordinates of the image of P(10, 12), under the combined transformation, S followed by T.
  19. 14(c)(iii)8 marks· Mathematics Q14 14(c)(iii)Write the single matrix [[p, r], [q, p]], which represents the combined transformation, V followed by W.
  20. 14(e)4 marks· Mathematics Q14 14(e)Determine the coordinates of the image of (8,5) under the combined transformation, R followed by T.

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