Condition & Bi-Conditional
What is the hypothesis of the following statement: "If Emily is late to school, then her dad will have to drive her."?
Emily is late to school.
What reason comes after the given equation?
3k=12
Division Property
If a = b, then a+c = b+c, what is this property called?
Addition Property of Equality
All acute angles are more than 90 degrees.
True or False?
False
What does V mean in an equation for a truth table?
It means that at least one truth has to be on either of the two columns.
What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."?
The angles are supplementary.
What comes after the given equation?
3(5x+2)=36
The Distributive Property
If a(b+c)= ab+ac, what property is this?
Distributive Property of Equality
Supplementary angles are always gonna be 180 degrees.
True or false ?
True
A sentence that is either true or false is called
Truth value
What is the bi-conditional statement of the following statement? "If Gabe lives in Virginia, then she lives in the United States."
Gabe lives in Virginia if and only if she lives in the United States.
What is the given reason after 4=x?
The Symmetric Property
If a = b, then b=a.What property is this?
Symmetric Property of Equality
All obtuse angles are less than 90 degrees.
True or False?
False
What are truth tables?
A convenient way to organize truth values of statements.
When making the statement converse we ______ the hypothesis and conclusion.
switch
What will always be the first reason for a statement?
The Given
If a=b, then a-c=b-c. What property is this?
Subtraction Property of Equality
A conjecture.
How many columns are needed for (q V s)?
Three columns
p->q
What is the contrapositive?
~q->~p
What is the next step of reason called?
4x-2=16
Property of Subtraction
For any real number a, a=a. What property is this?
Reflexive Property of Equality
One negative times another will always be positive.
True or false?
True.
Do you start with truth or false first for the letters at first?
You start with truth.