0580/42 Feb/Mar 2025, Question 5: Rotation
Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 3 marks
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The question, in short
Three congruent rectangles form a pattern, each turned 90° about a vertex of the previous one. Given A (2, 5) and B (4, 1.5), find the coordinates of C and D.
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Solution · 3 marks
- 1Rectangle is 4 − 2 = 2 wide and 5 − 1.5 = 3.5 tall
- 2Second rectangle lies flat with top edge on y = 5, from x = 4 to 4 + 3.5 = 7.5, height 2
- 3C = (7.5, 5 − 2) = (7.5, 3)
- 4Third rectangle stands on C: 2 wide, 3.5 tall
- 5D = (7.5 + 2, 3 + 3.5) = (9.5, 6.5)
AnswerC (7.5, 3), D (9.5, 6.5)
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