Preparing for the Regents Examination Geometry, AK

Geometry of Three
Dimensions
11-1 Points, Lines, and
Planes
(pages 251–252)
1 False
2 False
3 True
4 True
5 True
6 True
7 True
8 False
9 True
10 False
11 False
12 H
13 E
14 C
15 G
16 C
17 G
18 E
19 D
20 a −−
AB −−
FG , −−
AB −−−
HC , −−
AB −−
ED ,
−−−
AH −−−
DG , −−−
AH −−
CB , −−−
AH −−
EF , −−
FA −−
GB ,
−−
FA −−−
DC , −−
FA −−
EH
b There are many possible answers. The following
are just a few.
−−
AB & −−
EF , −−
AB & −−−
DG , −−
BC & −−
EF , −−
BC &
−−
ED , −−−
DC & −−−
AH , −−−
DC & −−
EF .
21 Infinitely many
22 Infinitely many
23 Infinitely many
24 One
25 One
26 Infinitely many
68 Chapter 11: Geometry of Three Dimensions
27 Infinitely many
28 One
29 Infinitely many
30 Infinitely many
31 One
32 One
33 One
34 None
35 One
CHAPTER
11
11-2 Perpendicular Lines,
Planes, and Dihedral
Angles
(pages 257–258)
1 False
2 True
3 True
4 False
5 True
6 True
7 False
8 True
9 One
10 Infinitely many
11 Four
12 Infinitely many
13 One
14 One
15 a ABCD b GFE
16 a BCDE and GCDE
b PRS, SRT, ADE, and EDF
17 The plane that bisects the dihedral angle
18 −−−
QR , −−
QS , −−−
QU , −−−
WP , −−
TP , −−
VP