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Geometry - Chapter 1 Test
ugh the evils of definitions
21
Mathematics
10th Grade
09/03/2009

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Cards

Term
Clear
Definition
The definition must communicate the point and state the term being defined. Avoid vague or ambiguous language.
Term
Useful
Definition
The definition must use only words that have been previously defined or are commonly accepted as undefined.
Term
Precise
Definition
The definition must be accurate and reversible. Identify the class to which the the object belongs and its distinguishing characteristics.
Term
Concise
Definition
The definition must be a good sentence and use good grammar. Stick to the point and avoid using unnecessary words.
Term
Objective
Definition
The definition must be neutral. Avoid emotional words, figures of speech, and limitations of time and place.
Term
What are 3 undefined terms? Sketch them.
Definition
point, line, plane
Term
Disjoint
Definition
Have nothing in common
Term
Skew Lines
Definition
Lines that are not coplanar
Term
Collinear
Definition
points that lie on the same line
Term
Concurrent
Definition
Lines that intersect at a single point
Term
Coplanar
Definition
points that lie in the same plane
Term
Expansion Postulate
Definition
A line that contains at least two points. A plane contains at least three noncollinear points. Space contains at least four noncoplnar points.
Term
Line Postulate
Definition
Any two points in space lie in exactly one line.
Term
Plane Postulate
Definition
Three distinct noncollinear points lie in exactly one plane.
Term
Flat Plane Postulate
Definition
If two points lie in a plane, then the line containing these points lies in the same plane.
Term
Plane Intersection Postulate
Definition
If two planes intersect, then their intersection is exactly one line.
Term
Define Point
Definition
point is undefined; described as a location in space
Term
Consistent
Definition
contains postulates that do not contradict one another.
Term
Independent
Definition
postulate system in which no postulate can be deduced or proved from the other postulates in the system, therefore every postulate is necessary.
Term
Complete
Definition
Every statement that can be expressed within the system can be proved or disproved from the postulates.
Term
Why can't we have an ideal system?
Definition
Because it's not complete, because God limited our knowledge, man cannot know everything.
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