Definitions
Conditional & Biconditional Statements
Patterns
Reasoning with Properties
Law's
100
A type of logical statement that has two parts, a hypothesis and a conclusion.
What is a conditional statement?
100
Write in conditional form: A number divisible by 9 is also divisible by 3.
What is If a number is divisible by 9, then it is divisible by 3?
100
What are the next two terms in the pattern 2,4,6,8
What is adding 2? 10,12
100
If x + 10 = 30, then x = 20
What is subtraction property of equality?
100
If P then Q is true, and P is true, then Q is true
What is Law of Detachment?
200
A statement that is formed by writing the negation of both the hypothesis and the conclusion of a conditional statement.
What is Inverse?
200
Write the converse: If angle 1 measures 123 degrees, then angle 1 is obtuse.
What is If angle 1 is obtuse, then angle 1 is 123 degrees?
200
What are the next two terms in the pattern 50,43,36,29
What is subtracting 7? 22,15
200
If -8 + y = 30, then y = 38
What is addition property of equality?
200
If P then Q is true, and Q then R is true, then P then R is true.
What is Law of Syllogism?
300
A statement that is formed by switching the hypothesis and the conclusion.
What is converse?
300
Write the inverse: If I go to the mall, then it is not raining.
What is If I do not go to the mall, then it is raining?
300
What are the next two terms in the pattern 2,-6,18,-54
What is multiply by -3? 162,-486
300
If 8y = 56, then 56 = 8y
What is symmetric property of equality?
300
If you study, then you will get an "A". Steven Studied, then .......
What is then Steven will get an "A"?
400
A statement that is formed when you negate the hypothesis and conclusion of the converse of a conditional statement.
What is contrapositive?
400
Determine if the biconditional statement is true or false. Two angles are congruent if and only if they have the same measure.
What is True?
400
What are the next two terms in the pattern 10,12,6,8,2
What is adding 2, then subtracting 6? 4,-2
400
If 6x = 36, then x = 6
What is division property of equality?
400
If you live in Orlando, then you live in Florida. If you live in Florida, then you live in hot weather. If you live in Orlando, then...............................
What is then you live in hot weather?
500
A statement that contains the phrase "if and only if"
What is biconditional statement?
500
Write the contrapositive: If there is snow on the ground, then flowers are not in bloom.
What is If the flowers are in bloom, then there is no snow on the ground?
500
What are the next two terms in the pattern 400,200,100,
What is divide by 2? 50,25
500
If x = 20 and y = x + 30, then y = 50
What is substitution property of equality?
500
If you like to travel, then you enjoy sight seeing. If you enjoy sight seeing, then you like to take photographs. .........................................
What is If you like to travel, then you like to take photographs?
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