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Geo_Book_Answers

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

CHAPTER 3 REVIEW<br />

1. False; a geometric construction uses a straightedge<br />

and a compass.<br />

2. False; a diagonal connects two non-consecutive<br />

vertices.<br />

3. true 4. true<br />

5. false<br />

6. False; the lines can’t be a given distance from a<br />

segment because the segment has finite length and<br />

the lines are infinite.<br />

7. false<br />

D<br />

A B<br />

8. true 9. true<br />

10. False; the orthocenter does not always lie<br />

inside the triangle.<br />

11. A 12. B or K 13. I 14. H<br />

15. G 16. D 17. J 18. C<br />

19. 20.<br />

21. 22.<br />

23. Construct a 90° angle and bisect it twice.<br />

24.<br />

25. incenter<br />

26. Dakota Davis should locate the circumcenter<br />

of the triangular region formed by the three stones,<br />

which is the location equidistant from the stones.<br />

27.<br />

B<br />

A<br />

B<br />

A C<br />

C<br />

z<br />

Copy<br />

46 ANSWERS TO EXERCISES<br />

C<br />

28.<br />

29.<br />

30. mA mD.You must first find B.<br />

mB 180° 2(mA).<br />

B<br />

2y<br />

31.<br />

32.<br />

A<br />

A B<br />

I<br />

y<br />

R<br />

1_<br />

2 z<br />

y<br />

1_<br />

2 z<br />

y y x<br />

Segment<br />

5x<br />

P R<br />

3x 4x<br />

x<br />

2y<br />

Q<br />

B A<br />

D F<br />

T<br />

D<br />

33. rotational symmetry<br />

34. neither 35. both<br />

36. reflectional symmetry<br />

37. D 38. A 39. C 40. B<br />

41. False; an isosceles triangle has two congruent<br />

sides.<br />

D<br />

4x<br />

y

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