2.1-2.3

Inductive Reasoning

Using patterns and observations to make an educated guess.

Conjecture

A statement you believe is true based on a pattern.

Pattern

A repeated or predictable sequence of numbers, shapes, or events.

Counterexample

One example that proves a statement is false.

True Statement

A statement that is correct in every case.

False Statement

A statement that has at least one counterexample.

Conditional Statement

A statement written in if-then form.

Hypothesis

The IF part of a conditional statement.

Conclusion

The THEN part of a conditional statement.

If-Then Form

A statement written as If P, then Q.

Converse

A statement made by switching the hypothesis and conclusion.

Original Conditional

If P, then Q.

Converse Form

If Q, then P.

Deductive Reasoning

Using facts, definitions, and logical rules to reach a conclusion.

Law of Detachment

If P implies Q and P is true, then Q must be true.

Law of Syllogism

If P implies Q and Q implies R, then P implies R.

Justified Conclusion

A conclusion that logically follows from the given information.

Invalid Conclusion

A conclusion that does not necessarily follow from the given information.

Consecutive Odd Numbers

Odd integers next to each other in order, such as 3 and 5.

Multiple of 4

A number that can be divided by 4 with no remainder.

Quadrilateral

A polygon with four sides.

Rhombus

A quadrilateral with four congruent sides.

Square

A quadrilateral with four congruent sides and four right angles.