Geometry Chapter 1 Flashcards
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Geometry Chapter 1 Flashcards

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@AttentiveRococo

Questions and Answers

What is a segment?

Part of a line consisting of two points and all the points between them.

What is a ray?

The part of a line that starts at an endpoint and extends forever in one direction.

What is a plane?

Flat surface that has no thickness and extends forever.

What is a line?

<p>Straight path that has no thickness and extends forever.</p> Signup and view all the answers

What are congruent segments?

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

What is a midpoint?

<p>Point that divides (bisects) a segment into two congruent (equal) segments.</p> Signup and view all the answers

What does it mean to bisect?

<p>Divide into two congruent parts.</p> Signup and view all the answers

What is a vertex?

<p>The common endpoint of the sides of an angle.</p> Signup and view all the answers

What are congruent angles?

<p>Angles that have the same measure and are shown with an arc mark to represent congruency.</p> Signup and view all the answers

What is an adjacent angle?

<p>Two angles with a common vertex and common side, but do not overlap.</p> Signup and view all the answers

What is a linear pair?

<p>Pair of adjacent angles that form a line; noncommon sides are opposite rays.</p> Signup and view all the answers

What is a complementary angle?

<p>Two angles whose measures added together equal 90 degrees.</p> Signup and view all the answers

What is a supplementary angle?

<p>Two angles whose measures added together equal 180 degrees.</p> Signup and view all the answers

What are vertical angles?

<p>Two nonadjacent angles formed by two intersecting lines.</p> Signup and view all the answers

What is a point in geometry?

<p>Names a location and is represented by a capital letter.</p> Signup and view all the answers

What does it mean for points to be collinear?

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

What does it mean for points to be coplanar?

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

What is construction in geometry?

<p>A precise way of creating a figure using a compass and straight edge.</p> Signup and view all the answers

What does 'between' mean geometrically?

<p>Point that lies between 2 points but not in the middle.</p> Signup and view all the answers

What is the interior of an angle?

<p>Set of all points between the sides of an angle.</p> Signup and view all the answers

What is the exterior of an angle?

<p>Set of all points outside of an angle.</p> Signup and view all the answers

What is perimeter?

<p>The distance around a figure found by adding together all sides of the figure.</p> Signup and view all the answers

What is area?

<p>The number of square units of a given size needed to exactly cover a figure.</p> Signup and view all the answers

What is a radius?

<p>A segment whose endpoints are the center of the circle and a point on the circle; equals half the diameter.</p> Signup and view all the answers

What is a diameter?

<p>A segment that passes through the center of a circle and whose endpoints are on the circle.</p> Signup and view all the answers

What is circumference?

<p>The distance around a circle.</p> Signup and view all the answers

What is distance in geometry?

<p>The absolute value of the difference of the coordinates of any two points.</p> Signup and view all the answers

What is a coordinate?

<p>The location of a point.</p> Signup and view all the answers

What is an endpoint?

<p>A point at one end of a segment or the starting point of a ray.</p> Signup and view all the answers

What is a postulate?

<p>A statement that is accepted as true without proof.</p> Signup and view all the answers

What is length in geometry?

<p>Another name for the distance between two points.</p> Signup and view all the answers

What is a degree?

<p>1/360th of a circle.</p> Signup and view all the answers

What is an acute angle?

<p>An angle whose measure is between 0 and 90 degrees.</p> Signup and view all the answers

What is a right angle?

<p>An angle whose measure equals 90 degrees.</p> Signup and view all the answers

What is an obtuse angle?

<p>An angle whose measure is between 90 and 180 degrees.</p> Signup and view all the answers

What is a straight angle?

<p>An angle formed by two opposite rays and measures 180 degrees.</p> Signup and view all the answers

Study Notes

Basic Geometric Terms

  • Segment: Defined as part of a line with two endpoints and all points in between.
  • Ray: A part of a line with one endpoint that extends infinitely in one direction.
  • Plane: A flat surface with no thickness that extends infinitely in all directions.
  • Line: A straight path with no thickness that continues indefinitely.

Segment and Angles

  • Congruent Segment: Segments that have identical lengths.
  • Midpoint: The specific point that divides a segment into two equal parts.
  • Bisect: Refers to dividing something into two equal parts.

Angle Definitions

  • Vertex: The common endpoint where the sides of an angle meet.
  • Congruent Angles: Angles that have equal measures and are marked with an arc to denote congruency.
  • Adjacent Angle: Two angles sharing a common vertex and side without overlapping.
  • Linear Pair: A pair of adjacent angles that form a straight line, with noncommon sides as opposite rays.

Angle Relationships

  • Complementary Angles: Two angles that add up to 90 degrees.
  • Supplementary Angles: Angles that sum to 180 degrees.
  • Vertical Angles: Angles formed by intersecting lines that are not adjacent.

Points and Lines

  • Point: Identifies a location, represented by a capital letter.
  • Collinear: Points that lie on the same straight line.
  • Coplanar: Points located on the same plane.
  • Endpoint: The terminal point of a segment or starting point of a ray.

Constructions and Positions

  • Construction: A method to create geometric figures using tools like a compass and straightedge.
  • Between: A point that lies in between two other points but is not necessarily centered.

Angles’ Interior and Exterior

  • Interior of an Angle: All points lying between the sides of an angle.
  • Exterior of an Angle: All points outside the bounds of an angle.

Measurements

  • Perimeter: The total distance around a geometrical figure, calculated by summing the lengths of all sides.
  • Area: The total number of square units needed to cover a figure entirely.
  • Radius: A segment from the circle's center to any point on the circle, equal to half the diameter.
  • Diameter: A segment that passes through the center of a circle, connecting two points on the circle.

Circle Measurements

  • Circumference: The total distance around a circle.
  • Distance: The absolute difference in coordinates between any two points.
  • Coordinate: Represents the specific location of a point in a coordinate system.

Angles and Their Measures

  • Length: Synonymous with the distance between two points.
  • Degree: Represents 1/360th of a full circular rotation.
  • Acute Angle: An angle measuring between 0 and 90 degrees.
  • Right Angle: An angle that measures exactly 90 degrees.
  • Obtuse Angle: An angle measuring between 90 and 180 degrees.
  • Straight Angle: Formed by two opposite rays, measuring exactly 180 degrees.

Fundamental Concepts

  • Postulate: A statement accepted as true without requiring proof.

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Test your understanding of key concepts in Geometry with these flashcards from Chapter 1. Learn important terms such as segment, ray, plane, and line, which are fundamental to understanding geometrical principles. Perfect for students looking to reinforce their vocabulary.

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