Cambridge International Mathematics

710 ANSWERS

5a/b

c A^0 (3,1),B^0 (8,¡1),C^0 (4,¡4) d 2

p

5 units

6 a translation of

¡ 5

5

¢

7ay=2x+7 b y=^13 x+1 c y=¡x+7

dy=¡^12 x¡ 6

EXERCISE 20B

1a(3,2) b(¡ 3 ,¡2) c (2,¡3)

2a(3,6) b(¡ 4 ,5) c (¡ 3 ,¡2)

3a bA^0 (¡ 1 ,5),

B^0 (2,7),

C^0 (4,4)

4a bP^0 (¡ 5 ,4),

Q^0 (¡ 3 ,¡2),

R^0 (¡ 1 ,1)

5ay=¡^12 x b x=3

6 a rotation about O(0,0)through(μ+Á)o 72 x¡ 3 y=¡ 3

EXERCISE 20C

1

2a(4,1) b(¡ 4 ,¡1) c (¡ 1 ,4) d(1,¡4)

3a(1,¡3) b(3,1) c (5,¡3) d(¡ 1 ,1)

e(¡ 1 ,3) f(¡ 5 ,¡3) g(¡ 3 ,¡1) h(¡ 1 ,7)

4

5a(1,¡1) b(5,¡1) c (3,¡9) d(1,7) e (5,1)

6 y=x¡ 5

7aon the graph b on the graph

ci/ii on the graph

iii A clockwise rotation of 90 oabout O.

di/ii on the graph iii A 180 orotation about O.

8a(3,2) b(¡ 8 ,3) c (1,¡4)

9a(1) isy=2x+3 (2) is its translation and

(3) is the reflection iny=¡ 1

b m=¡ 2 , c=3 ) y=¡ 2 x+3

10 a y=¡ 2 x b y=^12 x c y=¡ 2 x+4

d y=¡ 2 x+6

EXERCISE 20D

1a b

c

2a b

O

A

B

C

A'

C'

B'

y

x

3

-3

-2 4

O

y

x

3

3

A'

B'

C'

A

B

-1C

y

x

O 4

3

-3 P

Q

R

R'

Q'

P'

-4

mirror

-5 5

5

-5

O

y

x

GT

U

V

H

yx¡=¡- yx¡=¡

O

U T

W V

y

x

-2 2

2

-2

y¡=¡-1

a

c b

-5 5

5

-5

O

y

x

()0 -5,

()2 -1,

()4 ¡3,

(1) (2)

(3)

yx¡=¡2 ¡+¡3

y¡=¡-1

C

C

O

y

x

268

2

4

-2

-4 D

T

O

y

x

246

2

4

T C

6

C

IB MYP_3 ANS

cyan magenta yellow black

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100 100
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100 100
Y:\HAESE\IGCSE01\IG01_an\710IB_IGC1_an.CDR Wednesday, 19 November 2008 11:52:58 AM PETER