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16 Cards in this Set
- Front
- Back
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Conditional statement
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a-->b,if then statement. A conditional statement has 2 clauses, one of which begins with "if" or "when".
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Hypothesis
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The "if" clause of an conditional statement, (a)
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Conclusion
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The "then" clause of an conditional statement, (b)
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Converse
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b-->a
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Syllogism
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example of direct proof.
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Direct Proof
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a-->b, b-->c, then a-->c, an argument using this form.
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Premises
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b-->c,c-->d, in between statement
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Theorem
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A statement that is proved by reasoning deductively from already accepted statements.
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Indirect Proof
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Example: Suppose d is not true, if not d, then e. If e, then f, and so on, until we come to a contradiction. Therefore not d is false and d is true.
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Postulate
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A statement that is assumed to be true without proof.
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iff
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if and only if
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The Pythagorean Theorem
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The square of the hypothesis of a right triangle is equal to the sum of the squares of the other two sides.
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The Triangle Angle Sum Theorem
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The sum of the angles of a triangle is 180 degrees.
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Two Circles Theorem
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If the diameter of a circle is d, its circumference is (pi)d. If the radius of the circle is r, its area is (pi)r squared.
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Postulate 1
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Two points determine a line.
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Postulate 2
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Three noncollinear points determine a plane.
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