Definition 1
Definition 1
Definition 1
Real World
100
The process of thinking systematically and logically to draw conclusions or make decisions based on facts or evidence.
Reasoning
100
A logical argument made of two premises followed by a conclusion.
Syllogism
100
The statement formed by switching the hypothesis and conclusion of a condition
Converse
100
A carpenter is building a book case in the shape of a rhombus. If one side is 24 inches long, how many inches should each of the other sides be?
What is 24 inches
200
The study of valid reasoning. It involves principles used to distinguish correct from incorrect arguments.
Logic
200
Statements accepted as true without proof, used as a foundation for further reasoning
Postulates (or Axioms)
200
The statement formed by negating both the hypothesis and conclusion of a conditional.
Inverse
200
Meredith is ordering a rectangular rug with a perimeter of 48 feet. One side is 14 feet. What are the remaining sides' lengths?
One side is 14 feet, and the remaining two sides are 10 feet each.
300
A type of reasoning that starts with general premises and uses them to draw specific conclusions.
Deductive Reasoning
300
A statement that has been proven to be true using definitions, postulates, and previously proven theorems
Theorem
300
The statement formed by switching and negating both the hypothesis and conclusion.
Contrapositive
300
What is 128 cm
400
A statement believed to be true based on observations, but not yet proven. ..
Conjecture
400
A statement that follows directly and easily from a previously proven theorem
Corollary
400
A statement combining a conditional and its converse: "If and only if (iff)."
Biconditional
400
Alex and Matt are having an argument about parallelograms. Alex thinks that all rhombuses are squares and Matt thinks that all squares are rhombuses. Is Matt or Alex correct?
What is Matt
500
A type of reasoning that draws general conclusions from specific examples or patterns.
Inductive Reasoning
500
A statement in the form "If p, then q."
Conditional Statements
500
If I have square ABCD and diagonal AC, what is the measure of <BAC?
What is 45o
500
What is yes