Question 6 — IGCSE 0580 May/June 2024 Paper 31
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Transformations · Transformations. Worth 11 marks.
Open in interactive question bank →
Question text
6 The diagram shows a point, P, three triangles, A, B and C, and part of triangle D on a 1 cm2 grid.
y
10
9
D
8
7
6
5
4
3
A
2
a
1
0 x
1 2 3 4 5 6 7 8 9 10 11 12 13 14
– 1
B
– 2
– 3
C
–– 34
P
– 5
– 6
© UCLES 2024 0580/31/M/J/24
13
(a) On the grid, mark the image of point P after a reflection in the line y = 0. [1]
(b) Use trigonometry to calculate angle a.
Angle a = ................................................ [2]
(c) Describe fully the single transformation that maps
(i) triangle A onto triangle B
.............................................................................................................................................
............................................................................................................................................. [3]
(ii) triangle A onto triangle C.
.............................................................................................................................................
............................................................................................................................................. [2]
(d) Triangle A has been enlarged with centre (1, 0) to give triangle D.
The grid is only large enough to show one vertex and part of two of the sides of triangle D.
(i) Write down the scale factor of the enlargement.
................................................. [1]
(ii) Find the coordinates of the other two vertices of triangle D.
( .................... , .................... ) and ( .................... , .................... ) [2]
© UCLES 2024 0580/31/M/J/24 [Turn over
14
Mark scheme
