Lesson 1-3 Points, Lines, and Planes



Lesson 1-3 Points, Lines, and Planes

Page 19 #2-24 even, 30-44 even, 46-49 all, 55-60 all, 65-67 all

Are the three points collinear? If so, name the line on which they lie.

2. B, C, D

4. A, E, C

6. F, A, E

8. A, G, C

10. Name line n in three other ways.

Name the plane represented by each surface of the box.

12. the top

14. the back

16. the right side

Use the figure at the right for Exercises 17-37.

First, name the intersection of each pair of planes.

18. plane UXV and WVS

20. planes TXW and TQU

Name two planes that intersect in the given line.

22. [pic] 24. [pic]

Name another point in each plane.

30. plane RVW 32. plane UXS 34. plane TVR

Is the given point coplanar with the other three points?

36. point U with T, V, S

Postulate 1-4 states that any three noncollinear points lie in one plane. Find the plane containing the first three points listed, then decide whether the fourth point is in that plane. Write coplanar or noncoplanar to describe the points.

38. Z, S, Y, C

40. X, Y, Z, U

42. X, Z, S, V

If possible, draw a figure to fit each description. Otherwise write not possible.

46. four points that are collinear 47. two point that are noncollinear

48. three points that are noncollinear 49. three points that are noncoplanar

Use always, sometimes, or never to make a true statement.

55. Intersecting lines are _________________ coplanar.

56. Two planes ______________ intersect in exactly one point.

57. Three points are ______________ coplanar.

58. A plane containing two points of a line ________________ contains the entire line.

59. Four points are __________________ coplanar.

60. Two lines _________________ meet in more than one point.

Use postulates to explain each situation.

65. A land surveyor can always find a straight line from the point where she stands to any other point she can see.

66. A carpenter knows that a line can represent the intersection of two flat walls.

67. A furniture maker knows that a three-legged table is always steady, but a four-legged table will sometimes wobble.

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A

D

F

C

B

E

G

n

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D

A

H

C

B

V

W

S

U

Q

R

T

X

C

U

Y

S

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V

Z

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