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Transformation Ms

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0% found this document useful (0 votes)
6 views12 pages

Transformation Ms

Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

1 Rotation 3 B1 for each


(5, 3)
90° clockwise oe

2 Enlargement 3 B1 for each

[sf]

[centre] (4, 4)

3(a) Triangle drawn at (2, –1), (2, –4), 2 B1 for two correct
(3, –4) points
If 0 scored, SC1 for
reflection of triangle T in
y = –x

3(b) Triangle drawn at (–5, 6), (–2, 5), 2 B1 for translation by


(–5, 5)
or by

If 0 scored SC1 for


triangle drawn at
(–4.5, 3.5), (–4.5, 4.5)
and (–1.5, 3.5)

3(c) Enlargement 3 B1 for each


[SF] –1.5 oe
[centre] (0, 3)
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

4(a)(i) Translation or translate 2 B1 for each

oe

4(a)(ii) Rotation or rotate 3 B1 for each


90 [anticlockwise] oe
[centre] (2, 1)

4(b)(i) Triangle at (–5, 6) (–2, 6) (–2, 5) 2 B1 for reflection in y = k

4(b)(ii) Triangle at (1, 5) (1, 7) (7, 7) 2 B1 for correct size and


orientation, wrong
position

5 enlargement 3 B1 for each

[sf]

[centre] (9, −1)

6(a)(i) Rotation 3 B1 for each


90° anticlockwise oe
(0, − 1)
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

6(a)(ii) enlargement 3 B1 for each

[s.f.]

(6, 6)

6(b) triangle at (− 4, 7) (− 4, 1) (− 1, 2 B1 for translation by


1)
or

7(a) Translation 2 B1 for each

7(b) Image at (–1, –1), (–4, –1), (–1, 2 B1 for image correct
–2) scale factor and
orientation but wrong
position
or for enlargement scale
factor centre (0, 0)

8(a)(i) rotation 3 B1 for each


90 anticlockwise oe
(–3, 2)
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

8(a)(ii) enlargement 3 B1 for each

(−2, −1)

8(b) Image at (–3, –5) (1, −5) (1, 3) 2 B1 for translation by

or

8(c) Image at (2, 3) (6, 3) (6, −5) 2 B1 for reflection in y = k


or x = 4

9 Enlargement 3 B1 for each

[scale factor]

[centre] (3, 4)

10(a) Triangle at (–4, –4) (–1, –3) (–4, 2 B1 for correct points not
–3) joined
or for reflection in any y
=k
or for reflection in x =
–1
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

10(b) Triangle at (1, 1) (1, 4) (2, 4) 2 B1 for correct points not


joined
or rotation 90° clockwise
around any point
or rotation 90°
anticlockwise around (0,
0)

10(c) 2 B1 for translation or


Translation correct vector oe

11(a)(i) triangle with vertices at (−2, −1) 2 B1 for correct reflection


(−8, −1) (−2, −5) in y = x

11(a)(ii) triangle with vertices at (−1, −1) 2 B1 for translation by


(−1, −7) (3, −7)
or

11(b)(i) Enlargement 3 B1 for each


[centre] (−7, 8)
[sf] ½

11(b)(ii) Rotation 3 B1 for each


[centre] (0, 0)
90° clockwise oe
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

12(a) Translation 2 B1 for each

12(b) Correct reflection at 2 B1 for three correct


(6, 2), (6, 6), (7, 6), (7, 3) vertices

13(a) Rotation 3 B1 for each


90° clockwise oe
(1, 0)

13(b) Enlargement 3 B1 for each


−2
(0, 2)

14(a) Image at (1, 7), (4, 7), (4, 9), 2 B1 for translation by
(3, 9)
or

14(b) Image at (5, 3), (6, 3), (8, 5), 2 B1 for 180° rotation with
(5, 5) wrong centre
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

14(c) Rotation 3 B1 for rotation


180° B1 for 180°
(4.5, 6) B1FT for centre from
their (a)
OR
Enlargement
B1 for enlargement
[factor] –1
B1 for –1
(4.5, 6)
B1FT for centre from
their (a)

15 Image at (1, 2), (1, 5), (3, 5), 2 B1 for y = x drawn


(3, 4) or for 3 correct points

16(a)(i) Image at (–5, 4), (–2, 4), (–4, 6) 2 B1 for translation by

or

16(a)(ii) Image at (2, 1), (4, –1), (2, –2) 2 B1 for reflection in
y = –x
or y = x drawn

16(b) Rotation 3 B1 for each


90° [anticlockwise] oe
(1, –1)

17(a)(i) Reflection 2 B1 for each


x = 1.5
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

17(a)(ii) Rotation 3 B1 for each


(0, −1)
90° [anticlockwise] oe

17(b)(i) Image at (5, −1) (6, −1) (6, −3) 2 B1 for correct size and
orientation but wrong
position
If 0 scored, SC1 for
enlargement SF with
centre (3, 0)

17(b)(ii) Image at (−6, 3) (−4, 3) (−6, 7) 2 B1 for translation

or

18(a)(i) Translation 2 B1 for each


Accept 5 right and 8
up

18(a)(ii) Enlargement 3 B1 for each


[sf] 0.5 oe
[centre] (0, −7)

18(a)(iii) Rotation 3 B1 for each


90 [anticlockwise] oe
Origin oe
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

18(b) Image at (−8, 1) (−8, 5) (−8, 7) 2 B1 for reflection of flag


(−4, 1) A in the line x = −1
or y = k
or for vertices of triangle
in correct place but not
joined

19(a) Rotation 3 B1 for each


90[°] clockwise oe
Origin oe

19(b)(i) Image at (–4, –1) (–4, –4) 1


(–2, –4)

19(b)(ii) Image at (3, –1) (5, –1) (3, –4) 2 B1 for translation by

or

or for 3 correct points not


joined

20(a) Reflection 2 B1 for each


y = –1

20(b) Triangle at 2
(0, –3), (4, –1), (4, –3) B1 for translation

or

or for three correct


vertices
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

20(c) Triangle at 2 B1 for rotation about


(–2, 2), (–2, 6), (–4, 6) (0, 0) 90° clockwise
or 90° anticlockwise with
wrong centre
or for three correct
vertices

20(d) Triangle at 2
B1 for scale factor
(–3, –1), (–3, –2), (–1, –1)
with wrong centre
or scale factor with
centre (0, 0)
or for three correct
vertices

21(a)(i) Translation 2 B1 for each

oe

21(a)(ii) Enlargement 3 B1 for each

[sf = ] oe

(−4, 0)

21(a)(iii) Rotation 3 B1 for each


90° clockwise oe
(1, −1)
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

21(b) Triangle with (1, –1), (5, –1), 2 B1 for correct size and
(1,7) orientation in wrong
position or for 3 correct
points not joined

22(a)(i) Image at (3, –3), (7, –3), (7, –5) 2 B1 for reflection in any
x=k
or if 3 correct points not
joined

22(a)(ii) Image at (–5, 1), (–1, 1), (–5, –1) 2 B1 for translation by

or

or if 3 correct points not


joined

22(a)(iii) Image at (6, 3), (6, 4), (4, 3) 3 B2 for correct size and
orientation but wrong
position
or if 3 correct points not
joined
B1 for enlargement SF ½
with centre (3, 1)

22(b) Rotation 3 B1 for each


90° [anticlockwise] oe
(–6, –2)
- Mark Scheme /

Question Answer Marks AO Element Notes Guidance

23(a) Rotation 3 B1 for each


[centre] origin oe
90°[anti-clockwise] oe

23(b) Enlargement 3 B1 for each


[centre] (0, 3)
[sf] − 2

24 Triangle (3, –2), (4, –2), (4, –1) 2 B1 for movement 2 right
or 3 down

25 Enlargement 1

origin oe 1

[Total: 156]

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