Question 5 — IGCSE 0580 March 2023 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Geometrical terms and vocabulary. Worth 16 marks.
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Question text
5 The diagram shows three triangles, A, B and C, on a 1cm2 grid.
y
10
9
8
7
6
5
A
4
3
2
B
1
– 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5 6 7 8 9 x
– 1
c
– 2
– 3
– 4
C
– 5
– 6
– 7
– 8
– 9
– 10
– 11
© UCLES 2023 0580/32/F/M/23
9
(a) Measure angle c.
Angle c = ................................................ [1]
(b)
hypotenuse equilateral isosceles
acute congruent obtuse
trigonometry cosine reflex
Complete these statements using two different words from the box.
(i) Angle c is .................................. [1]
(ii) Triangles A and C are ........................................ [1]
(c) Work out the area of triangle A.
Give the units of your answer.
............................... ............... [3]
(d) Describe fully the single transformation that maps
(i) triangle A onto triangle B
.............................................................................................................................................
............................................................................................................................................. [3]
(ii) triangle A onto triangle C.
.............................................................................................................................................
............................................................................................................................................. [3]
(e) On the grid, draw the image of
3
(i) triangle A after a translation by the vector [2]
e-10o
(ii) triangle A after a reflection in the line x = 4. [2]
© UCLES 2023 0580/32/F/M/23 [Turn over
10
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