Inductive Reasoning
Conditional Statements
Laws of Logic
Properties
Other
100
List the next two numbers in the pattern: 1,-1,-3,-5...
What is -7,-9
100
What is the if-then form of "A baseball player is smart"
If a person is a baseball player, then he is smart.
100
What conclusion can you make about the true statement? Every Tuesday Jon reads a novel. Today is Tuesday
Jon will read a novel
100
According to the Reflexive Property. JK=?
JK
100
What is the negation of Billy can't dance?
Billy can dance
200
Describe the pattern: 1, 8, 27, 64,...
Each successive number is cubed
200
What is the converse of "A baseball player is smart"
If a person is smart, then he is a baseball player.
200
If it rains, then it pours. If it pours, then the field is wet.
If it rains, then the field is wet.
200
This property is known as the ___________ property. AB=2AC AC+BC=AB Therefore, 2AC=AC+BC
Transitive
200
A segment AC with a point B on the segment. Given: AB=1/2 AC 1.AB=1/2 AC 1.Given 2.AB+BC=AC 2.??????? Fill in the missing reason
Segment Addition Postulate
300
(3)(3)=9 (-3)(-3)=9 (2)(2)=4 (-2)(-2)=4 Make a conjecture about any integer multiplied by itself.
The product will be positive.
300
What is the inverse of "A baseball player is smart"
If a person isn't a baseball player, then he is not smart.
300
Paulbeck's sells donuts. Tammy went to Paulbeck's ______________________. What can you conclude?
Tammy may have purchased donuts.
300
The property illustrated here is called the _____________ property of equality. 6x - 5 = 2x + 4 4x - 5 = 4
Subtraction
300
A statement that can be proven is called__________.
A theroem
400
Provide a counter example. The sum of a positive and negative integer is always positive.
ex. 5 + (-6)=-1
400
What is the contrapositive of "A baseball player is smart"
If a person is not smart, then he is not a baseball player.
400
The world's largest turkey is located in Frazee, MN. Ron has never been to MN. What can you conclude?
Ron has never seen the world's largest turkey.
400
Use the symmetric property to finish the statement: If AB = 5, then 5 = ?
AB
400
Congruent angles that are opposite and formed by two intersecting lines are called ______________.
Vertical angles.
500
The Lightning have won 33 hockey games. The Blues won have 46 hockey games. Is the conjecture: "The Lightning have tied more games than the Blues valid? Why?
No, we don't know how many games each team tied.
500
Rewrite as a biconditional. All angles are congruent in an equiangular triangle.
A triangle is equiangular if and only if all its angles are congruent.
500
If there is a tornado warning, then the sirens will sound. If radar indicates a tornado, then there is a tornado warning.
If radar indicates a tornado, then the sirens will sound.
500
RS=10.3 ST=7 Given RS + ST = RT Segment Addition Post. 10.3 + 7 = RT ????
Substitution
500
Angle 1 is supplementary to angle 2. Angle 3 is supplementary to angle 2. Angle 3 is 46 degrees. What is the measure of angle 1?
46 degrees
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