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10 Cards in this Set
- Front
- Back
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DEFINE POSTULATES
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GENERALIZATIONS THAT ARE ACCEPTED TRUE, BUT CANNOT BE PROVEN TRUE
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POSTULATE - POINTS
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TWO POINTS DETERMINE A SINGLE LINE
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POSTULATE - PLANE
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AT LEAST THREE POINTS NOT ON THE SAME LINE ARE NEEDED TO DETERMINE A SINGLE PLANE
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POSTULATE - PLANES THAT INTERSECT
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IF TWO PLANES INTERSECT, THEY INTERSECT ON EXACTLY ONE LINE
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DEFINE THEOREMS
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GENERALIZATIONS THAT CAN BE PROVEN TRUE.
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THEOREM - IF TWO LINES INTERSECT
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THEY INTERSECT AT EXCTLY ONE POINT
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THEOREM -THROUGH A LINE AND A POINT NOT ON THAT LINE, THERE IS ONLY ONE PLANE
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THREE NONCOLLINEAR POINTS DETERMINE A SINGLE PLANE. A LINE PROVIDES TWO POINTS AND THE POINT NOT ON THE LINE IS THE THIRD NONCOLLINEAR POINT
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WHAT ARE THE TWO TYPES OF GEOMETRIC PROOFS
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INDUCTIVE AND DEDUCTIVE
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INDUCTIVE PROOFS
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START WITH EXAMPLES, AND THEN THESE EXAMPLES ARE USED TO SUPPORT A CONCLUSION.
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DEDUCTIVE PROOFS
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DEDUCTIVE REASONING USES DEFINITIONS, THEOREMS, AND POSTULATES TO PROVE A NEW THEOREM TRUE
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