Relationships of lines and planes

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Shapes 5
Line & Plane Relationships
Name_______________________
Worksheet
A
1. Name all segments parallel to GE .
2. Name all segments parallel to BE .
L
R
K
G
C
3. Name two pair of skew lines.
B
E
4. Name a pair of parallel planes.
Tell whether the lines are intersecting, parallel or skew.
5. DG and BH
A
6. AB and BC
B
D
7. AC and GT
8. TH and DG
9. AT and CK
10. AC and CK
C
T
H
G
11. BH and CB
K
12. GK and BH
Write true or false
H
13. CB || GH
14. ED || HI
15. plane AED || plane FGH
16. plane ABH || plane CDF
17. AB and HG are skew
18. AE and BC are skew
19. CF and AI are skew
20. CF and AJ are skew
Page 1 of 2
B
A
E
I
C
D
G
J
F
Shapes 5
Draw and label each of the following.
21. planes C and D intersect, and planes D and E intersect, but planes C and E do not intersect.
22. AM || FG || JB.
23. Draw line p intersecting line q.
24. Planes A and B interesting in XY
25. a ray with endpoints M that passes through P
Complete with always, sometimes, or never to make a true statement.
26. AB and BA are __________ the same ray.
27. AB and AC are __________ the same ray.
28. AX and XA are __________ the same segment.
29. TQ and QT are __________ the same line.
30. Two parallel lines are _________coplanar.
31. Skew lines are ___________ coplanar.
32. Opposite rays ___________ form a line.
33. Two lines on the same plane are __________ parallel.
34. Two planes that do not interest are ___________ parallel.
35. Two lines that lie in parallel planes are __________ parallel.
Refer to the figure at the right to name each of the following.
A
36. a line containing point A
E
37. a ray passing through B
38. two points collinear with point D
39. two points coplanar with point B
40. a plane containing points C, B and E
Page 2 of 2
C
F
B
D
R
Shapes 5
Line & Plane Relationships – Answers
1.
CL , BK , RA
2.
KG
3.
RC & BK ;
CE & BK ;
AR & KG
4.
RCEB & ALGK;
AKBR & LGEC
5.
parallel
6.
intersecting
7.
skew
8.
skew
9.
parallel
10.
intersecting
11.
intersecting
12.
skew
13.
true
14.
false
15.
true
16.
false
17.
true
18.
false
19.
true
20.
false
Page 3 of 2
KG & RC ;
AR & BE ;
EG & RC ;
Shapes 5
21.
C
E
D
22.
A
F
M
J
B
G
23.
p
q
A
24.
Y B
X
25.
M
P
26.
never
27.
sometimes
28.
always
29.
always
30.
always
31.
never
32.
always
33.
sometimes
34.
always
35.
sometimes
Page 4 of 2
Shapes 5
36.
AF
37.
CB or FB
38.
E, F
39.
C, D, E, F
40.
R
Page 5 of 2
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