HONORS GEOMETRY Chapter 6 Review NAME

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HONORS GEOMETRY
Chapter 6 Review B
NAME
1.
AB ,
2.
XY
Always Sometimes Never
CK
BC and CD are coplanar
and RT are skew lines.
Points X, R and T are coplanar.
Always Sometimes Never
3.
and VW are parallel lines.
If a line is  to CK then it is  to VW
Always Sometimes Never
4.
If AB is  to plane m, plane m // plane n, then AB  plane n.
Always Sometimes Never
5.
6.
EF intersects plane m at exactly two points.
A line is  to exactly one line in a plane.
Always Sometimes Never
Always Sometimes Never
7.
and AB are parallel lines.
If a line is // to EF then it is // to AB
Always Sometimes Never
8.
A line is  to exactly two lines in a plane.
Always Sometimes Never
9.
EF
EF intersects plane m at exactly one point.
EF is  to none of the lines in plane m.
Always Sometimes Never
10.
Point X and EF determine a plane.
Always Sometimes Never
11.
Point X and EF are coplanar.
Always Sometimes Never
12.
EF and VW are both  to plane w.
EF and VW are coplanar.
Always Sometimes Never
13.
EF and VW are both in plane w.
EF and VW are skew.
Always Sometimes Never
14.
Given:
m||n
F
FG , AC , and DB
m
A
D
all intersect at point E
E
CB  DA
Prove:
GB  FD
n
B
C
G
HONORS GEOMETRY
Chapter 6 Review
ANSWERS
1.
AB ,
2.
XY
Always Sometimes Never
CK
BC and CD are coplanar
and RT are skew lines.
Points X, R and T are coplanar.
Always Sometimes Never
3.
and VW are parallel lines.
If a line is  to CK then it is  to VW
Always Sometimes Never
4.
If AB is  to plane m, plane m // plane n, then AB  plane n.
Always Sometimes Never
5.
6.
EF intersects plane m at exactly two points.
A line is  to exactly one line in a plane.
Always Sometimes Never
Always Sometimes Never
7.
and AB are parallel lines.
If a line is // to EF then it is // to AB
Always Sometimes Never
8.
A line is  to exactly two lines in a plane.
Always Sometimes Never
9.
EF
EF intersects plane m at exactly one point.
EF is  to none of the lines in plane m.
Always Sometimes Never
10.
Point X and EF determine a plane.
Always Sometimes Never
11.
Point X and EF are coplanar.
Always Sometimes Never
12.
EF and VW are both  to plane w.
EF and VW are coplanar.
Always Sometimes Never
13.
EF and VW are both in plane w.
EF and VW are skew.
Always Sometimes Never
14.
Given:
m||n
F
FG , AC , and DB
m
A
D
all intersect at point E
E
CB  DA
Prove:
n
GB  FD
B
C
G
1. m||n
1. given
2. FG , AC , and DB all intersect at point E
2. given
3. CB  DA
3. given
4. points F, G, B, and D are coplanar
4. intersecting lines determine a plane
5. points C, B, D, and A are coplanar
5. intersecting lines determine a plane
6. FD || BG
8. ECB  EAD
6. if a plane intersects 2 parallel planes then
the lines of intersection are parallel
7. if a plane intersects 2 parallel planes then
the lines of intersection are parallel
8. if || lines  alternate interior s are 
9. EBC  EDA
9. if || lines  alternate interior s are 
10. ECB  EAD
10. ASA (9,3,8)
11. EB  ED
11. CPCTC
12. FED  GEB
12. vertical s are 
13. EBG  EDF
13. if || lines  alternate interior s are 
14. EBG  EDF
14. ASA (13,11,12)
15. GB  FD
15. CPCTC
7. FD || BG
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