Geometry Unit 1 Vocabulary Flashcards

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Questions and Answers

What is a point?

  • The set of all points in three dimensions.
  • It marks a location and is named by a capital letter. (correct)
  • It is a flat surface that goes on forever.
  • An infinite set of points in one dimension.

What describes a line?

  • It is two-dimensional.
  • An infinite set of points that goes on forever. (correct)
  • Part of a line consisting of two endpoints.
  • A flat surface extending infinitely.

What is a plane?

  • A flat surface that has thickness.
  • A flat surface that goes on forever in two directions. (correct)
  • A set of points in three dimensions.
  • A point that divides a segment.

What is space in geometry?

<p>The set of all points in three dimensions. (C)</p> Signup and view all the answers

What does collinear mean?

<p>Points that lie on the same line. (A)</p> Signup and view all the answers

What describes noncollinear points?

<p>They do not lie on the same line. (C)</p> Signup and view all the answers

What does coplanar mean?

<p>Points that lie on the same plane. (B)</p> Signup and view all the answers

What does noncoplanar mean?

<p>Points that do not lie on the same plane. (B)</p> Signup and view all the answers

What is an intersection?

<p>The set of points both figures have in common. (A)</p> Signup and view all the answers

What describes a segment?

<p>Part of a line consisting of two endpoints. (A)</p> Signup and view all the answers

What is a ray?

<p>Part of a line that starts at a specific point and extends infinitely in one direction. (D)</p> Signup and view all the answers

What does perpendicular mean?

<p>Two lines that intersect to form right angles. (B)</p> Signup and view all the answers

What defines parallel lines?

<p>Lines that do not intersect but are within the same plane. (D)</p> Signup and view all the answers

What does skew mean?

<p>Lines that are not parallel and do not intersect. (D)</p> Signup and view all the answers

What are opposite rays?

<p>Two rays that share a common endpoint and extend in opposite directions. (C)</p> Signup and view all the answers

What does congruent segments mean?

<p>Segments that have the same length. (D)</p> Signup and view all the answers

What is a midpoint?

<p>A point that divides a segment into two congruent segments. (C)</p> Signup and view all the answers

What is an endpoint?

<p>Marks the start of a segment or ray. (A)</p> Signup and view all the answers

What is a segment bisector?

<p>A line that divides a segment at its midpoint into two equal parts. (C)</p> Signup and view all the answers

What defines a perpendicular bisector?

<p>A line that divides a segment at its midpoint and is perpendicular. (A)</p> Signup and view all the answers

What are intersecting lines?

<p>Two lines that cross at a given point. (D)</p> Signup and view all the answers

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Study Notes

Basic Geometric Concepts

  • Point: Represents a location, indicated by a capital letter; has no dimensions or thickness (0-dimensional).
  • Line: Infinite collection of points extending indefinitely; characterized by being one-dimensional with no thickness.
  • Plane: Flat surface extending infinitely in two directions; composed of an infinite set of points; has two dimensions and no thickness.
  • Space: Three-dimensional context encompassing all points in geometry.

Relationships Among Points

  • Collinear Points: Points situated on the same straight line.
  • Noncollinear Points: Points that do not lie on the same straight line.
  • Coplanar Points: Points that exist within the same flat surface or plane.
  • Noncoplanar Points: Points that do not share the same plane.

Geometric Interactions

  • Intersection: Common set of points shared by two figures.
  • Segment: Portion of a line defined by two endpoint locations, includes all points in between.
  • Ray: A part of a line that begins at a specific point and extends infinitely in one direction.

Special Line Relationships

  • Perpendicular Lines: Lines that intersect at right angles (90 degrees).
  • Parallel Lines: Lines that remain consistently distant from each other and do not meet; both lines exist within the same plane.
  • Skew Lines: Lines that do not intersect and are not parallel, existing in different planes.

Line Segments and Their Properties

  • Opposite Rays: Two rays sharing a common endpoint that extend in opposite directions to create a line.
  • Congruent Segments: Line segments that are equal in length.
  • Midpoint: The point that bisects a segment into two equal (congruent) segments.

Segment Divisions

  • Endpoint: The terminating point of a line segment or ray.
  • Segment Bisector: A line that intersects a segment at its midpoint, creating two congruent segments.
  • Perpendicular Bisector: A line that is perpendicular to a segment and passes through its midpoint.

Line Relationships

  • Intersecting Lines: Lines that cross one another at a designated point.

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