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### 15 Cards in this Set

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 conditional statement consists of two clauses, ohypothesis & conclusion a → b or "If a, then b." Euler diagrams used to see how conditional statements relate to each other converse converse of conditional statement found by interchanging its hypothesis and conclusion. The converse of a → b is b → a converse of true statement may be false For definitions converse always true; a if and only if b a iff b a ↔ b syllogism Argument of the form a → b b → c Therefore, a → c Theorem statement that is proved by reasoning deductively from already accepted statements Direct proof premises lead to conclusion, or theorem Indirect proof start with assumption that is opposite of desired conclusion, reach contradiction; contradiction will indicate that assumption false and desired conclusion must be true postulate statement that is assumed to be true without proof Postulate 1 Two points determine a line Postulate 2 Three noncollinear points determine a plane Pythagorean Theorem The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides Triangle Angle Sum Theorem The sum of the angles of a triangle is 180º Two Circles Theorems If the diameter of a circle is d, its circumference is πd. If the radius of a circle is r, its area is πr².