# Chapter 2-3 Vocab

### 19 terms by JenBargen

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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.

Ax + By = C

y = mx + b

Example: