For use only in The British School in Tokyo
April 2017
IGCSE-H5-02-01_Transformations
Transformations
1.
On a set of axes with x ranging from -6 to 8 and y ranging from –6 to 10 (1cm per unit), draw
and label the triangle T with vertices at A(0, − 1), B(2, − 1) and C (1, 2) .
On the same set of axes draw and label the following:
(a)
The triangle T1 with vertices A1 , B1 and C1 which is obtained by translating T by the
 4 
vector   .
 − 2
(b)
The triangle T2 with vertices A2 , B2 and C2 which is obtained by an enlargement of T
by scale factor 3, the centre of enlargement being (−1, − 2) .
(c)
The triangle T3 with vertices A3 , B3 and C3 which is obtained by reflecting T in the
line y = x + 3 .
(d)
The triangle T4 with vertices A4 , B4 and C4 which is obtained by rotating T about the
point (−2, − 1) by 90° in the clockwise direction.
2.
On a set of axes with x ranging from -6 to 10 and y ranging from –8 to 8 (1cm per unit), draw
and label the triangle T with vertices at A(3, 6), B(7, 6) and C (6, 7) .
(a)
On the same set of axes draw and label:
(i)
the triangle T1 with vertices A1 , B1 and C1 which is obtained by enlarging T by
scale factor –2 and centre of enlargement (5, 4).
(ii)
On the same set of axes draw and label T2 with vertices A2 , B2 and C2 which
is obtained by rotating T about the point (2, 3) through 90° in the
anticlockwise direction.
(iii) The triangle T3 with vertices A3 (−3, 0), B3 (−3, − 4) and C3 (−4, − 3) .
(v)
The triangle T4 with vertices A4 , B4 and C4 which is obtained by rotating T3
about the point (-6, -5) through 90° in the clockwise direction.
The triangle T5 with vertices A5 (3, − 8), B5 (7, − 8) and C5 (6, − 7) .
(i)
Find the equation of the line through which T is reflected onto T3 .
(ii)
Find the equation of the line through which T4 is reflected onto T5 .
(iii)
Find the vector through which T is mapped to T5 .
(iv)
(b)
Copyright www.pgmaths.co.uk - For AS, A2 notes and IGCSE / GCSE worksheets