Geometry Fundamental Vocabulary

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Vocabulary flashcards covering foundational geometry terms and angle definitions from the lecture notes.

Last updated 7:42 PM on 9/8/26
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22 Terms

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Set

A collection of objects such that it is possible to determine whether a given object belongs to the collection or not.

<p>A collection of objects such that it is possible to determine whether a given object belongs to the collection or not.</p>
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Point

An undefined term represented by a dot and named by a capital letter. It has no length, width, or thickness.

<p>An undefined term represented by a dot and named by a capital letter. It has no length, width, or thickness.</p>
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Line

An undefined term describing an infinite set of points extending endlessly in both directions.

<p>An undefined term describing an infinite set of points extending endlessly in both directions.</p>
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Plane

An undefined term describing a set of points that form a flat surface extending endlessly in all directions.

<p>An undefined term describing a set of points that form a flat surface extending endlessly in all directions.</p>
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Coplanar points

Points that lie on the same plane.

<p>Points that lie on the same plane.</p>
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Line Segment

A set of points consisting of two points on a line, called endpoints, and all of the points on the line between the endpoints.

<p>A set of points consisting of two points on a line, called endpoints, and all of the points on the line between the endpoints.</p>
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Congruent Segments

Segments that have the same measure.

<p>Segments that have the same measure.</p>
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Collinear points

A set of points all of which lie on the same straight line.

<p>A set of points all of which lie on the same straight line.</p>
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Noncollinear points

A set of three or more points that do not all lie on the same straight line.

<p>A set of three or more points that do not all lie on the same straight line.</p>
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Parallel Lines

Coplanar lines that have no points in common and never intersect.

<p>Coplanar lines that have no points in common and never intersect.</p>
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Ray

A part of a line that consists of a point on the line, called an endpoint, and all the points on one side of the endpoint.

<p>A part of a line that consists of a point on the line, called an endpoint, and all the points on one side of the endpoint.</p>
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Angle


Set of points that is the union of two rays having the same endpoint.


<table style="min-width: 75px;"><colgroup><col style="min-width: 25px;"><col style="min-width: 25px;"><col style="min-width: 25px;"></colgroup><tbody><tr><td colspan="1" rowspan="1"><p></p></td><td colspan="2" rowspan="1"><p><span>Set of points that is the union of two rays having the same endpoint.</span></p></td></tr></tbody></table><p></p>
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Adjacent Angles

Two angles that have a common side and a common vertex.

<p>Two angles that have a common side and a common vertex.</p>
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Acute Angle

An angle that measures greater than 00^\top and less than 9090^\top.

<p>An angle that measures greater than $$0^\top$$ and less than $$90^\top$$.</p>
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Right Angle

An angle that measures exactly 9090^\top.

<p>An angle that measures exactly $$90^\top$$.</p>
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Perpendicular Lines

Two lines that intersect to form congruent right angles (9090^\top angles).

<p>Two lines that intersect to form congruent right angles ($$90^\top$$ angles).</p>
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Obtuse Angle

An angle that measures greater than 9090^\top and less than 180180^\top.

<p>An angle that measures greater than $$90^\top$$ and less than $$180^\top$$.</p>
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Straight Angle

An angle that measures 180180^\top.

<p>An angle that measures $$180^\top$$.</p>
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Complementary Angles

Two angles whose measures add to 9090^\top. Each angle is called the complement of each other, and they do not have to be adjacent.

<p>Two angles whose measures add to $$90^\top$$. Each angle is called the complement of each other, and they do not have to be adjacent.</p>
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Supplementary Angles

Two angles whose measures add to 180180^\top. Each angle is called the supplement of each other, and they do not have to be adjacent.

<p>Two angles whose measures add to $$180^\top$$. Each angle is called the supplement of each other, and they do not have to be adjacent.</p>
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Linear Pair

Angles that share a common vertex and form a straight line. Linear pairs are supplementary.

<p>Angles that share a common vertex and form a straight line. Linear pairs are supplementary.</p>
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Angles around a point

Adjacent angles around a point that have measures that add to 360360^\top.

<p>Adjacent angles around a point that have measures that add to $$360^\top$$.</p>