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19 terms

Chapter 2-3 Vocab

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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