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The definition must communicate the point and state the term being defined. Avoid vague or ambiguous language. |
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The definition must use only words that have been previously defined or are commonly accepted as undefined. |
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The definition must be accurate and reversible. Identify the class to which the the object belongs and its distinguishing characteristics. |
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The definition must be a good sentence and use good grammar. Stick to the point and avoid using unnecessary words. |
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The definition must be neutral. Avoid emotional words, figures of speech, and limitations of time and place. |
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What are 3 undefined terms? Sketch them. |
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Lines that are not coplanar |
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points that lie on the same line |
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Lines that intersect at a single point |
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points that lie in the same plane |
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A line that contains at least two points. A plane contains at least three noncollinear points. Space contains at least four noncoplnar points. |
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Any two points in space lie in exactly one line. |
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Three distinct noncollinear points lie in exactly one plane. |
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If two points lie in a plane, then the line containing these points lies in the same plane. |
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Plane Intersection Postulate |
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If two planes intersect, then their intersection is exactly one line. |
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point is undefined; described as a location in space |
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contains postulates that do not contradict one another. |
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postulate system in which no postulate can be deduced or proved from the other postulates in the system, therefore every postulate is necessary. |
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Every statement that can be expressed within the system can be proved or disproved from the postulates. |
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Why can't we have an ideal system? |
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Because it's not complete, because God limited our knowledge, man cannot know everything. |
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