geometry vocab and math

Vertical Angles

Opposite angles formed by two intersecting lines that are congruent to each other.

Linear Pair

Two adjacent angles that form a straight line and whose sum is equal to $180^\circ$.

Conditional Statement

An if-then logical statement expressed in the form $p \rightarrow q$, where $p$ is the hypothesis and $q$ is the conclusion.

Converse

A logical statement formed by interchanging the hypothesis and conclusion of a conditional statement ($q \rightarrow p$).

Inverse

A logical statement formed by negating both the hypothesis and conclusion of a conditional statement ($\sim p \rightarrow \sim q$).

Contrapositive

A logical statement formed by both negating and swapping the hypothesis and conclusion of a conditional statement ($\sim q \rightarrow \sim p$).