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Program Gerak Gempur PMR 2009 Topical Exercise 1
TRANSFORMATIONS ENLARGEMENTS
Name : Class : Date :
1. In the diagram below, draw the image AB under an enlargement at centre C with the scale factor 2. ( 2 marks )Name the image of AB as AB.
2. In the diagram below, draw the image of GH under an enlargement about the point K with the scale factor 3. Statethe coordinates of the image of H. ( 2 marks )
3. In the diagram below, Draw the image of the triangle KLM under an enlargement with a scale factor 2 at the centreof enlargement C. ( 2 marks )
A
B
The coordinates of the image of H is ( 6 , 1)
K
L
M
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Program Gerak Gempur PMR 2009 Topical Exercise 2
4. In the diagram below, Draw the image of the triangle PQR under an enlargement with a scale factor 3 at the centreof enlargement C. ( 2 marks )
5. In the diagram below, Draw the image of the polygon EFGH under an enlargement with a scale factor 3 at the
centre of enlargement C. ( 2 marks )
6. In the diagram below, Draw the image of the polygon RSTU under an enlargement with a scale factor 2 at the pointP. State the coordinates of the image of T. ( 2 marks )
P
R
Q
H
GF
E
U
T
S
R
The coordinates of the image of T is( 5 , 5)
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Program Gerak Gempur PMR 2009 Topical Exercise 3
7. In the diagram below, Draw the image of the Triangle LMN under an enlargement with a scale factor1
2at the point
P. State the coordinates of the image of M. ( 2 marks )
8. In the diagram below, R is the image of R under an enlargement . State the coordinates of the centre ofenlargement O. ( 2 marks )
9. The diagram below shows a cartesian plane. Figure Q is the image of Figure P under an enlargemant.(a) State the coordinates of the centre of enlargement. ( 3 marks )(b) Find the scale factor.
The coordinates of the image of M is( 1 , 5) L
N
M
3 1
The coordinates of the centre ofenlargement is ( 3 , 1 )
(a) The coordinates of the centre
of enlargement is ( 3 , 1 )
(b) The scale factor is 2
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Program Gerak Gempur PMR 2009 Topical Exercise 410. In the diagram, P is the image of P under transformation M. Describe in full transformation M. ( 2 marks )
11. In the diagram below, triangle S is the image of triangle R under an enlargement at O.(a) Calculate the scale factor of the enlargement.(b) Given the area of R is 15 cm
2, calculate the area in cm
2, of S . ( 3 marks )
12. In the diagram, P is the image of P under transformation M. Describe in full transformation M. ( 2 marks )
13. The diagram below shows a Cartesian plane. Q is the image of P under a transformation M. Describe in full thetransformation M. ( 2 marks )
(a) An enlargement at the centreof enlargement ( 1 , 1 ) with thescale factor 2
(a) Scale factor =12 43
=
(b) The area of S = 42 15
= 240 cm2
An enlargement at the centre ofenlargement ( 0 , 1 ) with thescale factor 2
An enlargement at the centre ofenlargement ( 0 , 2 ) with thescale factor 2
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Program Gerak Gempur PMR 2009 Topical Exercise 6
18. In the diagram below, R is the image of R under an enlargement. ( 4 marks )(a) Mark the centre of enlargement as C(b) State the scale factor.(c) If the area of R is 20 units
2, calculate the area of R.
19. In the Cartesian plane, P is the image of P under an enlargement at centre O. Find the coordinates of the imageof Q under the same enlargement. ( 2 marks )
20. The diagram below shows a Cartesian plane. Given that AB is the image of AB under an enlargement, find thecoordinates of the centre of enlargement. ( 2 marks )
C
(b ) Scale factor = 2
(c) The area of S =2
1
2 20
= 5 cm2
Q
10 5
1 1
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