If today is Thanksgiving Day, then today is Thursday.
What is a conditional statement
100
The process of using logic to draw conclusions from given facts, definitions, and properties.
What is deductive reasoning
100
What property of equality is demonstrated 'a=a'
What is the reflexive property of equality
100
A statement that can be written in the form "p if and only if q"
What is Biconditional Statement
200
(If a triangle is obtuse), then it has one obtuse angle.
What is a hypothesis
200
If p -> q is a true statement and p is true, then q is true.
What is Law of Detachment
200
What property of equality is demonstrated 'if a=b then a+c = b+c'
What is addition property of equality
200
Write the conditional statement from the biconditional: An angle is obtuse if and only if its measure is greater than 90 degrees and less than 180 degrees.
What is If and an angle is obtuse than its measure is greater than 90 degrees.
300
If a triangle is obtuse, (then it has one obtuse angle)
What is the conclusion
300
If p -> q and q -> r are true statements, then p -> r is a true statement.
What is Law of Syllogism
300
What property of equality is demonstrated 'of a=b then b=a'
What is the symmetric property if equality
300
Write the biconditional from the conditional statement: If 5x - 8 = 37, then x = 9
What is 5x - 8 = 37 <-> x = 9
400
Determine if the conditional is true: If two angles are acute, then they are congruent.
What is False
400
What type of reasoning is used: There is a myth that you can balance an egg on its end on the spring equinox. A person was able to balance an egg July 8th, September 21st and December 19, therefore this myth is false.
What is inductive reasoning
400
What property of equality is demonstrated 'if a=b then ac=bc'
What is the multiplication property of equality
400
Determine if the biconditional is true or false: A rectangle has side lengths of 12 cm and 25 cm if and only if its area is 300 cm squared.
What is False
500
Determine if the conditional is true: If an animal is a blue jay, then it is a bird.
What is true
500
Deductive or Inductive reasoning: All oranges are fruits, All fruits grow on trees, therefore, all oranges grow on trees
What is Deductive reasoning
500
What property of equality is demonstrated 'if a=b then b can be substituted for a in an expression'
What is the substitution property of equality
500
A statement that describes a mathematical object and can be written as a true biconditional.