Geometry basics

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A set of vocabulary flashcards defining fundamental geometric terms and their symbols based on lecture notes.

Last updated 5:47 PM on 8/17/26
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12 Terms

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Geometry

The branch of mathematics that is the study of shapes, lines, angles, and space and the relationship between them.

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Point

A term that indicates a location, represented by a name such as AA.

<p>A term that indicates a location, represented by a name such as $$A$$.</p>
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Line

A straight path extending infinitely in opposite directions, symbolized by a horizontal arrow above two points (e.g., BC\overleftrightarrow{BC} or CB\overleftrightarrow{CB}) or a lowercase letter like ll.

<p>A straight path extending infinitely in opposite directions, symbolized by a horizontal arrow above two points (e.g., $$\overleftrightarrow{BC}$$ or $$\overleftrightarrow{CB}$$) or a lowercase letter like $$l$$.</p>
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Line Segment

A part of a line with two endpoints, symbolized by a horizontal bar above two points (e.g., AB\overline{AB} or BA\overline{BA}).

<p>A part of a line with two endpoints, symbolized by a horizontal bar above two points (e.g., $$\overline{AB}$$ or $$\overline{BA}$$).</p>
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Endpoint

A point marking the beginning or end of a line segment or the starting point of a ray.

<p>A point marking the beginning or end of a line segment or the starting point of a ray.</p>
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Ray

Part of a line that starts at a point and extends infinitely in one direction, symbolized by a horizontal arrow that extends in one direction (e.g., GH\overrightarrow{GH}).

<p>Part of a line that starts at a point and extends infinitely in one direction, symbolized by a horizontal arrow that extends in one direction (e.g., $$\overrightarrow{GH}$$).</p>
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Vertex

The point of intersection of two or more line segments, rays, or lines; in an angle, it is the common endpoint of two rays.

<p>The point of intersection of two or more line segments, rays, or lines; in an angle, it is the common endpoint of two rays.</p>
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Side

In an angle, these are the rays that share a common endpoint; in a triangle, these are the line segments connecting the vertices.

<p>In an angle, these are the rays that share a common endpoint; in a triangle, these are the line segments connecting the vertices.</p>
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Angle

A figure formed by two rays with the same endpoint (the vertex), written as A\angle A, BAC\angle BAC, or CAB\angle CAB.

<p>A figure formed by two rays with the same endpoint (the vertex), written as $$\angle A$$, $$\angle BAC$$, or $$\angle CAB$$.</p>
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Triangle

A shape with three sides and three vertices, written using the symbol ABC\triangle ABC.

<p>A shape with three sides and three vertices, written using the symbol $$\triangle ABC$$.</p>
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Parallel Lines

Lines that are always the same distance apart and NEVER meet, written as lml \parallel m.

<p>Lines that are always the same distance apart and NEVER meet, written as $$l \parallel m$$.</p>
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Perpendicular Lines

Lines that intersect to form four right angles, written as lml \perp m.

<p>Lines that intersect to form four right angles, written as $$l \perp m$$.</p>