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10 Cards in this Set

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