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Undefined Terms and Definitions. Undefined Terms. Point simply a location represented by a dot named with a capital letter no shape no size. Undefined Terms (cont.). Line made up of points no thickness or width drawn with an arrowhead at each end

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Undefined Terms and Definitions

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Undefined Terms and Definitions


Undefined Terms

Point

  • simply a location

  • represented by a dot

  • named with a capital letter

  • no shape

  • no size


Undefined Terms (cont.)

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


Undefined Terms (cont.)

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


Definitions (cont.)

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

Example 1-1d

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

Example 1-2d

Answer: point

Answer: plane


Example 1-4e

a. How many planes appear in this figure?

Answer: two


Example 1-4f

b. Name three points that are collinear.

Sample answer:A, X, and Z


Example 1-4g

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?

Example 1-4h

Answer:R


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