The Basic Building Blocks Of Geometry Practice Questions

Review the following concept if necessary:  The Basic Building Blocks of Geometry Study Guide.

The Basic Building Blocks Of Geometry Practice Questions

Problems

1. Are there more points on than point A and point B?
2. How are points distinguished from one another?
3. Why would lines, segments, rays, or planes not exist if points do not exist?
4. Write six different names for this line.
5. How many points are on a line?
6. Why do you think the notation for a line has two arrowheads?

7. Name two different rays with endpoint S.
8. Why is it important to name the endpoint of a ray first?
9. Why are ray and ray not the same?
10. Name six different line segments shown.
11. Why are arrowheads not included in line segment notation?
12. How many points are on a line segment?

13. A line is different from a ray because _____.
14. A property of a point is _____.
15. A ray is different from a segment because _____.
16. A property of a line segment is _____.
17. A plane is different from a line because _____.

18. What are three examples of figures that occur in space?
19. Can three points be noncollinear? Why or why not?
20. Can coplanar points be noncollinear? Why or why not?
21. Can collinear points be coplanar? Why or why not?

Practice

Problems 22 - 25, please refer to the following geometric figure.  State whether each set of points is collinear.

22. A, B, C
23. A, E, F
24. B, D, F
25. A, E

Problems 26 - 29, please refer to the following geometric figure.  Determine whether each set of points is coplanar.



26. A, B, C, E
27. D, B, C, E
28. B, C, E, F
29. A, B, E

Determine whether the following statements are true or false.

30. and are the same line.
31. and are the same ray.
32. and are the same segment.
33. Any four points W, X, Y, and Z must lie in exactly one plane.

Draw and label a figure for the following two questions to fit each description, if possible. Otherwise, state "not possible."

34. four collinear points
35. three noncoplanar points
36. Are three points that are collinear sometimes, always, or never coplanar?

Answers

1. Yes; there are countless points on any line.
2. Points are distinguished from one another by the names assigned to them: A, B, C, and so on.
3. Lines, segments, rays, and planes are made up of a series of points.
4. 
5. An infinite number of points are on a line.
6. The notation for a line has two arrowheads because a line extends forever in both directions.
7. 
8. The endpoint is the beginning of a ray.
9. They are different because they have different endpoints and extend in different directions.
10. 
11. Line segments do not extend indefinitely. They have starting points and stopping points.
12. An infinite number of points are on a line segment.
13. A line has no endpoints; a ray has one endpoint.
14. A point has no size, has no dimension, indicates a definite location, and is named with an italicized capital letter.
15. A ray extends indefinitely in one direction, but a segment has two endpoints.
16. A line segment is part of a line, has endpoints, includes an infinite set of points, and is one dimensional.
17. A plane has two dimensions; a line has one dimension.
18. Answers will vary but could include a sphere, cube, rectangular prism, or triangular prism.
19. Yes, a third point could be off the line.
20. Yes, coplanar points can be noncollinear because two points could be on one line with a third point that lies the same plane but not on the same line.
21. Yes, collinear points must be coplanar because if a line is in a plane, then all points on that line are in the same plane.
22. yes
23. no
24. yes
25. Yes; remember that any two points determine a line, even if it is not drawn.
26. yes
27. no
28. no
29. Yes; remember that any three noncollinear points determine a plane, even if it is not drawn.
30. true
31. false
32. true
33. False; sometimes they do, but not always.
34. 
35. Not possible; any three points are coplanar.
36. always