Chapter 2 test Flashcards
Conjecture
A claim using logic about a patter or sequence
Counterexample
One fact hat makes a conjecture false
Statement
Mathematical statement that has a definite truth value
Negation
Noted as the ~ symbol and means not
Conjunction
Statements joined by using the word AND
the symbol for it is ^
Disjunction
Statements joined but using the word OR
They symbol is ∨
Conditional
p → q
Inverse
~p → ~q
Converse
q → p
Contrapositive
~q → ~p
Biconditional
p ←→ q
Addition Property
If a = b, the a + c = b + c
Subtraction Property
If a = b, then a - c = b - c
Multiplication Property
If a = b, then a * c = b * c
Division Property
If a = b, then a/c =b/c
Distributive Property
a (b + c) = a * b + a * c
Substitution Property
If a =b, then a may be substituted or replaced by b in any expression or equation
Reflexive Property
For any real number a, a = a (a value will always equal itself)
Symmetric Property
If a = b, then b = a
Transitive Property
If a = b and b = c, then a = c
When using the congruent symbol, the following properties can be applied
Reflexive property of congruence
symmetric property of congruence
transitive property of congruence
Definition of Congruence
Two figures or objects are congruent if they have the same shape and size
Definition of A Midpoint
A point that divides the line segment into two equal halves
Segment Addition Postulate
The length of a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments
Def. of A Right Angle
An angle measure to be 90°
Def. of Complimentary Angles
The sum of two angles is 90°
Def. of Supplementary Angles
the sum of two angles is 180°
Def. of Angle Bisector
An angle bisector divides and angle into two equal parts
Def. of Perpendicular
Perpendicular lines form right angles
Angle Addition Postulate
The sum of two angle measures that are joined by a common ray will be equal to the measure of the angle they form.
