Question 4 — IGCSE 0580 March 2023 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Co-ordinate geometry · Cartesian coordinates (2D). Worth 12 marks.
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Question text
4 (a)
y
6
5
4
3
2
T
1
0
x
1 2 3 4 5 6 7 8 9 10
– 1
– 2
(i) Enlarge triangle T by scale factor 3, centre (0, 2). [2]
(ii) (a) Rotate triangle T about (4, 2) by 90˚ clockwise.
Label the image P. [2]
(b) Reflect triangle T in the line x+y = 6.
Label the image Q. [3]
(c) Describe fully the single transformation that maps triangle P onto triangle Q.
.....................................................................................................................................
..................................................................................................................................... [2]
(b)
a
H
O
Z NOT TO
SCALE
b
K
The diagram shows triangle OHK, where O is the origin.
The position vector of H is a and the position vector of K is b.
Z is the point on HK such that HZ : ZK = 2 : 5.
Find the position vector of Z, in terms of a and b.
Give your answer in its simplest form.
................................................. [3]
© UCLES 2023 0580/42/F/M/23
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