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Geo_Book_Answers

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<strong>Answers</strong> to Exercises<br />

1.<br />

2. reflection<br />

3.<br />

4.<br />

5.<br />

–5<br />

–4<br />

5<br />

5<br />

y<br />

8<br />

–8<br />

y<br />

rotation<br />

y<br />

translation<br />

5<br />

–5<br />

y<br />

x<br />

reflection<br />

5<br />

LESSON 7.2<br />

86 ANSWERS TO EXERCISES<br />

y<br />

5<br />

reflection<br />

5<br />

5<br />

7<br />

x<br />

x<br />

x<br />

x<br />

6. Rules that involve x or y changing signs,<br />

or switching places, produce reflections.<br />

If both x and y change signs, the rule produces a<br />

rotation. Rules that produce translations involve a<br />

constant being added to the x and/or y terms.<br />

5, 0 is the translation vector for Exercise 1.<br />

7. (x, y) → (x, y)<br />

8. (x, y) → (x, y)<br />

9.<br />

10. There are two possible points, one on the N<br />

wall and one on the W wall.<br />

11.<br />

12. by the Minimal Path Conjecture<br />

13.<br />

14.<br />

W<br />

T<br />

Proposed freeway<br />

Perry<br />

,<br />

W<br />

N<br />

W E<br />

S<br />

T<br />

N<br />

8 ball<br />

S<br />

N<br />

S<br />

H H'<br />

Mason<br />

Cue ball<br />

H''<br />

H<br />

E<br />

E

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