By the definition of...
Conditional Statements
Algebraic Reasoning
Law of Syllogism or Detachment
Properties and Postulates
100
What is supplementary?
100
Identify the hypothesis and conclusion of the following conditional statement.
If the sidewalks are wet, then it has been raining.
What is the sidewalks are wet (hypothesis) and it has been raining (conclusion)?
100
Name the property used here:
3x + 2x = 4
5x = 4
What is combining like terms?
100
Make a conclusion if possible...state which law was used
If cats prowl, mice will scatter. Mice are scattering
What is no conclusion?
100
Adding the same thing to both sides of an equation.
What is Additive Equivalence?
200
What is angle bisector?
200
Write the contrapositive of the following conditional:
If the shoe fits, then you can wear it.
What is If you can't wear it, then the shoe does not fit.
200
The justification for this step:
2(3x+1) = 8
6x+2 = 8
What is the Distributive Property?
200
This book is one long syllogism.
What is If You Give a Mouse a Cookie?
200
Dividing both sides of an equation by the same number.
What is Division Equivalance?
300
What is segment bisector?
300
Determine if the conditional statement is true or false..if false provide a counter example
If the figure has four congruent angles, then the figure is a square.
What is false because of rectangles?
300
The justification for this step:
.5x = 4
x = 8
What is Multiplicative Equivalence?
300
Make a conclusion if possible.
To take Calculus, you must first take Algebra II. To take Algebra II, you must first take Algebra I. To take Algebra I, you must know how to add.
What is To take Calculus you must first know how to add?
300
Name the reasoning that we use in this image:
What is the Angle Addition Postulate?
400
What is congruent?
400
Write the converse of the following conditional:
If the temperature outside is below freezing, then ice can form on the sidewalks.
What is "If ice can form on the sidewalks, then the temperature outside is below freezing"?
400
The justification for this step:
A + B = C
1 + 3 = C
What is substitution?
400
Make a conclusion if possible, state the law used.
If you pass the road test then you will get your driver's license. Samantha passed the road test.
What is Samantha will get her driver's license, by the law of detachment?
400
Name the reasoning used in this image:
What is the Segment Addition Postulate?
500
What are vertical angles?
500
Given the following conditional: If it is snowing then it is cloudy....
If it is not snowing then it is not cloudy.
What is the inverse?
500
The issue with this proof:
What is dividing by zero?
500
Draw a conclusion from the given information.
Given: If a team play in the finals, then they won 10 games. If a team travels to Boston, then they play in the finals. The Ravens won 10 games.
What is no conclusion?
500
Name the property that justifies this statement:
m<1=m<2, and m<2=m<3. So m<1=m<3
What is transitive property?