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Geo_Book_Answers

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

CHAPTER 2 • CHAPTER 2<br />

CHAPTER 2 • CHAPTER<br />

LESSON 2.1<br />

1. “All rocks sink.” Stony needs to find one rock<br />

that will not sink.<br />

2. If two angles are formed by drawing a ray from a<br />

line, then their measures add up to 180°.<br />

3. 10,000, 100,000, ....Each term is 10 times the<br />

previous term.<br />

4. 5 ,1,....(Written 6 with the common<br />

denominator 6, the pattern becomes<br />

1 , 2 , 3 , 4 , 5 , 6<br />

6 6 6 6 6 6 ,....)<br />

5. 17, 21 6. 28, 36<br />

7. 21, 34 8. 49, 64<br />

9. 10, 24 10. 64, 128<br />

11. 12.<br />

13. 14.<br />

15. 16.<br />

17. 1, 4, 7, 10, 13 18. 15, 21, 28, 36, 45<br />

19. <strong>Answers</strong> will vary.<br />

20. sample answers:3,6,12,24,48,...and 4,8,12,<br />

16, 20, . . .<br />

21. <strong>Answers</strong> will vary.<br />

22. 7th term: 56; 10th term: 110; 25th term: 650<br />

23. Conjecture is false; 14 2 196 but 41 2 1681.<br />

24. 11,111 11,111 123,454,321. For the sixth<br />

line, if 111,111 is multiplied by itself, then the<br />

product will be 12,345,654,321. But 1,111,111,111 <br />

1,111,111,111 1,234,567,900,987,654,321.<br />

25. 26.<br />

27. 28.<br />

29. possible answers:<br />

30. sample answer:<br />

31. collinear 32. isosceles<br />

33. dodecagon 34. parallel<br />

35. protractor 36. radius<br />

37. diagonal 38. regular<br />

39. 90° 40. perpendicular<br />

41. sample answer: 42. sample answer:<br />

A G<br />

N T<br />

I<br />

43. sample answer: 44. possible answer:<br />

45. Methods will vary. It is not possible to draw a<br />

second triangle with the same angle measures and<br />

side length that is not congruent to the first.<br />

C<br />

40 60<br />

A 9 cm B<br />

A C Clearly AC <br />

does not<br />

bisect A<br />

or C.<br />

ANSWERS TO EXERCISES 23<br />

<strong>Answers</strong> to Exercises

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