Has the opposite meaning as well as the opposite truth value of a statement.
What is the Negation?
100
This type of compound statement is true only when both statements are true.
What is a Conjunction?
100
Statements l Reasons
________________l_______________
1.) x + 4 = 7 l 1.) _____?______
l
l
l
l
What is the Given?
100
For all numbers a, b, and c; if a = b, then
a + c = b + c.
What is the Addition Property?
100
If two angles form a linear pair, then they are supplementary angles.
What is the Supplement Theorem?
200
This is formed by joining two or more statements.
What is a Compound Statement?
200
This type of compound statement is false only when both statements are false.
What is a Disjunction?
200
Statements l Reasons
__________________l_______________
1.) x + 4 = 7 l 1.) Given
2.) x + 4 - 4 = 7 - 4 l 2.) ____?_____
l
l
l
What is the Subtraction Property?
200
For all numbers a and b; if a = b, then a may be replaced by b in any equation or expression.
What is the Substitution Property?
200
If two angles are vertical angles, then they are congruent.
What is the Vertical Angles Theorem?
300
a compound statement formed by joining two or more statements with the word and.
What is a Conjunction?
300
A conditional statement and its contrapositive are ________________________ .
What is Logically Equivalent?
300
Statements l Reasons
__________________l_______________
1.) x + 4 = 7 l 1.) Given
2.) x + 4 - 4 = 7 - 4 l 2.) Subtraction Property
3.) ____?_______ l 3.) Substitution Property
l
l
What is x = 3 ?
300
For all numbers a, b, and c; If a = b and b = c, then a = c.
What is the Transitive Property?
300
If the noncommon sides of two adjacent angles form a right angles, then the angles are complementary angles.
What is the Complement Theorem?
400
Is a compound statement formed by joining two or more statements with the word or.
What is a Disjunction?
400
Statements l Reasons
____________________________l___________________1.) Segment AB is congruent to l 1.) Given
segment BC and segment BC l
is congruent to segment CD l
2.) AB = BC and BC = CD l 2.) ____?____
l
l
What is the definition of congruence?
400
For every number a; a = a.
What is the Reflexive Property?
400
If B is between A and C then AB + BC = AC.
What is the Segment Addition Postulate?
500
Is a convient method of organizing the truth values of statements.
What is a Truth Table?
500
The negation of both the hypothesis and the conclusion of the converse statement.
What is the Contrapositive?
500
Statements l Reasons
____________________________l___________________1.) Segment AB is congruent to l 1.) Given
segment BC and segment BC l
is congruent to segment CD l
l
2.) AB = BC and BC = CD l 2.) The definition of
l congruence
l
3.) ______?______ l 3.) Transitive
l Property
What is AB = CD ?
500
For all numbers a, b, and c;
a(b + c) = ab + ac
What is the Distributive Property?
500
If R is in the interior of angle PQS, then the sum of the measures of angles PQR and RQS is equal to the measure of angle PQS.