Name _____________________
1.0 Homework
Sketch each of the following.
1. AB
2. BA
3. BA
Use the figure at the right for #4-6.
4. Name all the labeled segments.
R
5. Name all the labeled rays.
S
T
6a. Name a pair of opposite rays with T as an endpoint.
W
b. Name another pair of opposite rays in the figure.
7. Name the angle in four ways.
C
1
P
M
Are the points collinear? If so, name the line on which they lie.
8. A, D, E
m
A
9. B, C, F
G
D
10. F, B, D
C
B
F
E
11. G, F, C
12. Name line m in three other ways.
a.
b.
c.
Use with #8-12
n
Name the plane represented by each surface of the box.
13. the bottom
G
E
F
14. the front
H
C
D
A
15 the left side
B
X
Name the intersection of each pair of planes.
16. planes QRS and RSW
W
U
V
17. planes XWV and UVR
T
Name two planes that intersect in the given line
18. QU
19. XT
Q
U
T
Q
U
V
S
R
22. T, V, R
X
W
Name another point in each plane.
23. plane UVW
X
W
W
U
V
T
Q
R
Use for #16-19
Shade the plane that contains the given points.
20. R, V, W
21. U, X, S
X
S
T
S
R
V
S
Q
R
X
24. plane TUX
U
Is the given point coplanar with the other three points?
25. point Q with V, W, S
26. point W with X, V, R
W
V
T
Q
S
R
Use for #23-26
Name the intersection between the following:
27. XT and QT
X
28 point S and plane WVR
W
U
V
29. UV and plane XTR
30. plane XTQ and plane UWS
T
S
31. RX and plane WST
Q
32. TR and plane SRQ
R
Use for #27-32
Find the plane containing the first three points listed. Decide whether the fourth point is
in that plane. Write coplanar or noncoplanar to describe the points.
33. S, U, V, Y
Z
Y
34. X, S, V, U
S
U
V
X
35. S, V, C, Y
C
If possible, draw a figure to fit each description. Otherwise, write not possible.
36. Four points that are collinear.
37. Two points that are noncollinear.
38. Three points that are noncollinear.
39. Three points that are noncoplanar.
Graph the points and state whether they are collinear.
40. (3, –3), (2, – 3), (–3, 1)
Use always, sometimes, or never to make a true statement.
41. Intersecting lines are _______________ coplanar.
42. Two planes ________________ intersect in exactly one point.
43. Three points are ________________ coplanar.
44. A plane containing two points of a line ________________ contains the entire line.
45. Four points are __________________ coplanar.
46. Two lines ___________________ meet in more than one point.
Are the figures the same? Explain.
47. XY and YX
__________________________________________________________________
__________________________________________________________________
48. XY and YX
__________________________________________________________________
__________________________________________________________________
49. XY and YX
__________________________________________________________________
__________________________________________________________________
Write out the postulate that explains each situation.
50. A land surveyor can always find a straight line from the point where she stands to
any other point she can see.
51. A carpenter knows that a line can represent the intersection of two flat walls.
52. A furniture maker knows that a three-legged table is always steady, but a fourlegged table will sometimes wobble.
53. Navigation Rescue teams need to determine the location of a
distress signal. In the diagram, the ship at point A receives a signal
from the northeast. A ship at point B receives the same signal from
due west. Trace the diagram and find the location of the distress
signal. Explain how postulates help located the distress signal.
___________________________________________________________Source: Prentice Hall Geometry
________________________________________________________________
54. How many planes contain the same three collinear points? Explain.
________________________________________________________________
________________________________________________________________
Answers
1.
2.
3.
4. RS , RT , RW , ST , SW , TW
5. RS , ST , TW , WT , TS , SR
6. a. TS or TR and TW
b. SR , ST
7.
1,
C,
PCM ,
MCP
8. no
9. yes, line n
10. yes, line n
11. no
12. Answers may vary. Sample: AE , EC , GA
13. plane ABCD
14. plane ABHF
15. plane EFAD
16. RS
17. UV
18. plane QUX and plane QUV
19. plane UXT and plane WXT
20.
21.
22.
23. X
24. Q
25. No
26. No
27. point T
28. point S
29. point V
30. UQ
31. point X
32. TR
33. coplanar
34. coplanar
35. noncoplanar
36.
37. not possible
38.
39. not possible
40.
41. always
42. never
43. always
44. always
45. sometimes
46. never
47. Yes; both name the segment
with endpoints X and Y
48. No; the two rays have different
endpoints.
49. Yes; both are the line through
points X and Y.
50. Through any two points there is exactly one line.
51. If two planes intersect, then they intersect in exactly one line.
52. Through any three noncollinear points, there is exactly one plane.
53. Through any two points there is exactly one line so points A and D determine a line
and points B and D determine a line. The distress signal is on both lines then point D is
the distress signal because if two lines intersect, then they intersect in exactly one point.
54. Infinitely many. If three points are on one line, then infinitely many planes can
contain that one line.