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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