Geometry Angle Relationships and Segment Definitions

Vocabulary flashcards covering geometric definitions, angle properties, and segment implications from the provided lecture transcript.

Adjacent Angles

Two angles that share a side and vertex and are next to each other. They are NOT automatically congruent.

Complementary Angles

Two angles whose measures add up to $90^\circ$, implying $m\angle 1 + m\angle 2 = 90^\circ$.

Supplementary Angles

Two angles whose measures add up to $180^\circ$, implying $m\angle 1 + m\angle 2 = 180^\circ$.

Vertical Angles

Opposite angles formed when two lines intersect, implying that vertical angles are congruent.

Congruent

Figures, angles, or segments that have the same measure or size, implying their measures are equal.

Midpoint

A point that divides a segment into two equal parts, implying that if $B$ is the midpoint of $AC$, then $AB \cong BC$.

Parallel Implication

Parallel lines cut by a transversal create special angle relationships, implying corresponding angles and alternate interior/exterior angles are congruent, while same-side interior angles are supplementary.