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Integrated mathematics scheme: IMS T2 - National STEM Centre

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(d) (-~) (e)<br />

G)<br />

(f)<br />

(-~)<br />

B. 1. J 2. H 3. F 4. D<br />

5. B 6. J 7. H 8. F<br />

C. 1. FACE 2. CABBAGE 3. CHIEF<br />

P12 A. 1.<br />

(~) 2. (=~)<br />

3.<br />

(=~)<br />

4.<br />

(~)<br />

B. 1. L.JKL 2. L.JKL 3. L.DEF 4. L.ABC 5. L.JKL<br />

C. 1. L.JKL 2. L.DEF 3. L.GHI 4. L.MNO<br />

P13 A. 1. Drawings 2. Drawings<br />

B. 1. Agreed 2. Should be (2~)<br />

3. Should be (2~) 4. Agreed<br />

C. Drawings<br />

E12 A. 1., 2., 3.-See Exercise P11.<br />

4. The general results work for all values of x and y.<br />

5. All these vectors are parallel to (~) and simple multiples of its<br />

length.<br />

B. See Exercise P11<br />

C. See Exercise P11<br />

D. Experiment<br />

E13 A., B., C.-See Exercise P12.<br />

D. There are many translations in this diagram. If you assume the figure<br />

shows part of a tessellation, e.g.<br />

s, ~ S2 which maps S2~ S3, S4~ S5, etc.<br />

s, ~ S3; s, ~ S4; s, ~ S5; s, ~ S6; S2~ S4;<br />

S2~ s,; S3~ S4; S3~ s,; S4~ s,; S4~ S2; S4~ S3;<br />

S5~S,;S6~S,.<br />

17

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