The Basic Building Blocks of Geometry

Set 1

Choose the best answer.

1. Plane geometry
has only two dimensions.
manipulates cubes and spheres.
cannot be represented on the page.
is ordinary.

2. A single location in space is called a
line.
point.
plane.
ray.

3. A single point
has width.
can be accurately drawn.
can exist at multiple planes.
makes a line.

4. A line, plane, ray, and line segment all have
length and depth.
points.
endpoints.
no dimension.

5. Two points determine
a line.
a plane.
a square.
No determination can be made.

6. Three noncollinear points determine
a ray.
a plane.
a line segment.
No determination can be made.

7. Any four points determine
a plane.
a line.
a ray.
No determination can be made.

Set 2

Choose the best answer.

8. Collinear points
determine a plane.
are circular.
are noncoplanar.
are coplanar.

9. How many distinct lines can be drawn through two points?
0
1
2
an infinite number of lines

10. Lines are always
solid.
finite.
noncollinear.
straight.

11. The shortest distance between any two points is
a plane.
a line segment.
a ray.
an arch.

12. Which choice below has the most points?
a line
a line segment
a ray
No determination can be made.

Set 3

Ann, Bill, Carl, and Dan work in the same office building. Dan works in the basement while Ann, Bill, and Carl share an office on level X. At any given moment of the day, they are all typing at their desks. Bill likes a window seat; Ann likes to be near the bathroom; and Carl prefers a seat next to the door. Their three cubicles do not line up.

Answer the following questions using the description above.

13. Level X can also be called
Plane Ann, Bill, and Carl.
Plane Ann and Bill.
Plane Dan.
Plane Carl, X, and Bill.

14. If level X represents a plane, then level X has
no points.
only three points.
a finite set of points.
an infinite set of points extending infinitely.

15. If Ann and Bill represent points, then Point Ann
has depth and length, but no width; and is noncollinear with point Bill.
has depth, but no length and width; and is noncollinear with point Bill.
has depth, but no length and width; and is collinear with point Bill.
has no depth, length, and width; and is collinear with point Bill.

16. If Ann, Bill, and Carl represent points, then Points Ann, Bill, and Carl are
collinear and noncoplanar.
noncollinear and coplanar.
noncollinear and noncoplanar.
collinear and coplanar.

17. A line segment drawn between Carl and Dan is
collinear and noncoplanar.
noncollinear and coplanar.
noncollinear and noncoplanar.
collinear and coplanar.