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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.