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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. 