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Contrapositive

The equivalent statement formed by negating the hypothesis and conclusion of the converse of a conditional statement.

Theorem

A true statement that follows as a result of other true statements

Counterexample

A specific case that proves a conjecture/statement false. All it takes is one to prove a conjecture false.

Converse

The statement formed by exchanging the hypothesis and conclusion of a conditional statement.

Inverse

The statement formed by negating the hypothesis and conclusion of a conditional statement.

Deductive Reasoning

A process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument.

Inductive Reasoning

A process that includes looking for patterns and making conjectures.

Negation

The opposite of a statement.

Perpendicular Lines

Two lines that intersect to form a right angle. Their slopes are opposite reciprocals of each other.

Corresponding Angles

Two angles that are formed by two lines and a transversal and occupy corresponding positions

Consecutive Interior Angles

Two angles that are formed by two lines and a transversal and lie between the two lines and on the same side of the transversal.

Parallel Lines

Two lines that do not intersect and are coplanar. Their slopes are equal.

Alternate Interior Angles

Two angles that are formed by two lines and a transversal and lie between the two lines and on opposite sides of the transversal.

Transversal

A line that intersects two or more coplanar lines at different points.

Alternate Exterior Angles

Two angles that are formed by two lines and a transversal and lie outside the two lines and on opposite sides of the transversal.

Skew lines

Lines that do not intersect and are not coplanar.

Slope

The ratio of the vertical change to the horizontal change between any two points on a line.

Standard form of a line

Ax + By = C

Slope Intercept form

y = mx + b