Unit One Gina Wilson: Geometry Basics
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Questions and Answers

What is a point?

  • A flat surface
  • A measurable part of a line
  • Location with no shape or size (correct)
  • A line with thickness
  • What is a line?

    Made up of points and has no thickness or width

    Define a plane.

    Flat surface made up of points that extends infinitely in all directions

    What does collinear mean?

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

    Define coplanar.

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

    What is a line segment?

    <p>Measurable part of a line consisting of two endpoints</p> Signup and view all the answers

    What is the distance formula?

    <p>Used to find the distance between two points on a coordinate plane</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

    Define the midpoint formula.

    <p>Used to find the midpoint between two endpoints</p> Signup and view all the answers

    What is a segment bisector?

    <p>Any segment, line, or plane that intersects a segment at its midpoint</p> Signup and view all the answers

    Define a ray.

    <p>A line that extends indefinitely in one direction</p> Signup and view all the answers

    What is an angle?

    <p>Intersection of two rays at an endpoint</p> Signup and view all the answers

    What does vertex refer to in geometry?

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

    What is a right angle?

    <p>An angle that measures 90 degrees</p> Signup and view all the answers

    Define an acute angle.

    <p>An angle that measures less than 90 degrees</p> Signup and view all the answers

    What is an obtuse angle?

    <p>An angle that measures more than 90 degrees but less than 180 degrees</p> Signup and view all the answers

    What are congruent angles?

    <p>Angles that have the same measure</p> Signup and view all the answers

    Define adjacent angles.

    <p>Angles that have a common side and a common vertex</p> Signup and view all the answers

    What are vertical angles?

    <p>Two angles directly across from each other on intersecting lines</p> Signup and view all the answers

    Define complementary angles.

    <p>Two angles whose sum is 90 degrees</p> Signup and view all the answers

    What are supplementary angles?

    <p>Two angles whose sum is 180 degrees</p> Signup and view all the answers

    What is a linear pair?

    <p>Two angles that are adjacent and supplementary</p> Signup and view all the answers

    Define perpendicular lines.

    <p>Lines that intersect at a 90 degree angle</p> Signup and view all the answers

    What is an angle bisector?

    <p>A ray that divides an angle into two congruent angles</p> Signup and view all the answers

    Study Notes

    Basic Geometry Terms

    • Point: A location defined with no dimensions—no shape or size.
    • Line: A straight path composed of an infinite number of points; has no thickness or width.
    • Plane: A two-dimensional flat surface made of points, extending infinitely in all directions.

    Relationships Between Points

    • Collinear: Describes points that are all located on the same straight line.
    • Coplanar: Refers to points that all lie within the same flat surface (plane).

    Line Segments and Distance

    • Line Segment: A measurable portion of a line consisting of two defined endpoints.
    • Distance Formula: A mathematical formula used to calculate the distance between two points on a coordinate plane.

    Segments and Midpoints

    • Congruent Segments: Segments that possess equal length.
    • Midpoint Formula: A method for determining the midpoint between two endpoints of a line segment.
    • Segment Bisector: Can be a segment, line, or plane that intersects a segment precisely at its midpoint.

    Rays and Angles

    • Ray: A part of a line that begins at a point and extends indefinitely in one direction.
    • Angle: Formed by the intersection of two rays that share a common endpoint, known as the vertex.
    • Vertex: The specific point where two rays or lines meet to form an angle.

    Types of Angles

    • Right Angle: An angle measuring exactly 90 degrees.
    • Acute Angle: An angle measuring less than 90 degrees.
    • Obtuse Angle: An angle measuring between 90 degrees and 180 degrees.
    • Congruent Angles: Angles that have the identical measurement.

    Angle Relationships

    • Adjacent Angles: Angles that share a common side and vertex.
    • Vertical Angles: Formed by two intersecting lines, located directly opposite each other.
    • Complementary Angles: Two angles whose measurements add up to 90 degrees.
    • Supplementary Angles: Two angles whose measurements sum to 180 degrees.
    • Linear Pair: A pair of adjacent angles that are supplementary.

    Special Angle Relationships

    • Perpendicular Lines: Lines that intersect forming four right angles (90 degrees).
    • Angle Bisector: A ray that divides an angle into two smaller angles of equal measure.

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    Description

    Test your understanding of the foundational concepts in geometry with this flashcard quiz. From points to planes, each term is defined clearly to help you grasp the basics of geometric principles. Perfect for students beginning their journey in geometry.

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