Geo_Book_Answers
Geo_Book_Answers
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