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Undefined Terms and Definitions

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Undefined Terms and Definitions

Point

- simply a location
- represented by a dot
- named with a capital letter
- no shape
- no size

Line

- made up of points
- no thickness or width
- drawn with an arrowhead at each end
- named by the letters representing two points on the line or by a lowercase script letter
- has symbol in label above two letters
SL or LS

Plane

- flat surface made up of points
- no depth
- extends infinitely in all directions
- drawn as a shaded, slanted four-sided figure
- named by a capital script letter or by the letters naming three points in the plane that are not on the same line

Collinear - points on the same line

Coplanar - points that lie on the same plane

Intersection – The point(s) in common among figures

Space – A boundless three-dimensional set of all points.Space can contain lines and planes.

Locus – A set of points that all satisfy a particular condition.

Use the figure to name each of the following.

a. a line containing point X

Answer: line c,

b. a plane containing point Z

Answer:plane P, plane XYZ, plane ZYX, plane YZX, plane XZY, plane ZXY, plane YXZ

VISUALIZATION Name the geometric shape modeled by each object.

a. a colored dot on a map used to mark the location of a city

b. the ceiling of your classroom

Answer: point

Answer: plane

a. How many planes appear in this figure?

Answer: two

b. Name three points that are collinear.

Sample answer:A, X, and Z

c. Are points X, O, and R coplanar? Explain.

Answer: Points X, O, and R all lie in plane T, so they are coplanar.

d. At what point do and intersect?

Answer:R