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Math

QuestionAnswer
a statement that is believed to be true based on observations or patterns Conjecture
Is a type of reasoning in which a pattern is observed and a gentle conclusion is made Inductive reasoning
it is an example that shows a conjecture or statement is false Counter example
it is a statement written in the form if p , then q conditional statement
it is the if part of a conditional statement hypothesis
the then part of the conditional statement conclusion
the opposite of a statement Negation
a conditional statement formed by negated both the hypothesis and the conclusion inverse
a conditional statement formed by switching the hypothesis and conclusion Converse
a conditional statement formed by switching and negated the hypothesis and conclusion contra positives
a statement that combines a conditional and its converse using if and only if Bi conditional statement
statement that has the same truth value equivalent statement
it is a type of reasoning that uses facts, definitions, properties, and accepted segments to reach a logical conclusion Deductive reasoning
a valid form of reasoning that allows you to conclude q when p and q is true and p is true law of detachment
is a valid form of reasoning that combines two conditional statements to reach a conclusion Law of syllogism
a logical argument that uses definition, properties, postulates , and previously proven theorems to show that a statement is true proof
is a statement that has been proven to be true Theorem
a proof organized into two columns : statements and reasons two column proof
it is a proof written as a paragraph using complete sentences Paragraph proof
it is a proof that uses boxes and arrows to show how statements lead logically to a conclusion flow proof
is a statement that is accepted as true without proof Postulate
a statement that explains the meaning of a mathematical term definition
a rule or a characteristic that is accepted as true and can be used in mathematical reasoning Property
a quantity is congruent or equal to itself reflexive property
if one quantity equals or is congruent to another, the order can be reversed Symmetric property
of one quantity equals or is congruent to a second, and the second equals or is congruent to a third , then the first and third are equal or congruent transitive property
a quantity that can be substituted for another equal quantity Subsatution property
adding the same quantity to both sides of an equation produces an equivalent equation addition property of equality
subtracting the same quantity from both sides of an equation produces and equivalent equation Subtraction property of equality
multiplying both sides of an equation by the same number produces an equivalent equation multiplication property of equality
dividing both sides of an equation by the same non zero number produces a equivalent equation Division property of equality
where statements are joined by an ( or ) to make a new statement disjunction
where statements are joined by an ( or ) to make a new statement disjunction
is a step by step logical argument that uses algebraic rules, properties, and theorems to demonstrate the truth of a mathematical statement or equation Algebraic proof
it is a table that list all possible combinations of truth values in a logical statement and shows the resulting truth value of a compound statement truth table
the related conditionals of a statement are its converse, inverse, and contrapositive: contrapositive is always logically equivalent to the original conditional Related conditionals
it is a declarative sentence that is either true or false, but not both Statement
is a sequence of statements intended to show that a conclusion follows logically from given information Deductive argument
Created by: kriste23
 

 



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