Math 144 Quiz 1 Flashcards
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Questions and Answers

What is a point?

  • Part of a line
  • Divides the segment into two equal lengths
  • Has infinite length
  • A location with no length, width, or depth (correct)
  • What is the definition of a line?

    Has infinite length but no width or depth; does not bend.

    What is a plane?

    An infinite flat surface, or that which has infinite length and width but no depth.

    What does congruence mean in geometry?

    <p>A relationship between two geometrical figures stating they are the same size and shape.</p> Signup and view all the answers

    Define midpoint.

    <p>Divides the segment into two equal lengths.</p> Signup and view all the answers

    What is a bisector?

    <p>Any segment, ray, or line that passes through the midpoint of a segment.</p> Signup and view all the answers

    What are collinear points?

    <p>Two points on the same line.</p> Signup and view all the answers

    What are segments?

    <p>Part of a line, defined by two points and it can be measured.</p> Signup and view all the answers

    What is a ray?

    <p>Starting point but no ending point.</p> Signup and view all the answers

    Define angle.

    <p>Intersection of two rays.</p> Signup and view all the answers

    What is space?

    <p>The set of all points, or that which has infinite length, width, and depth.</p> Signup and view all the answers

    What are coplanar lines?

    <p>Lines that lie in the same plane.</p> Signup and view all the answers

    What are intersecting lines?

    <p>Coplanar lines that have exactly one point in common.</p> Signup and view all the answers

    What are parallel lines?

    <p>Distinct coplanar lines that have no point in common.</p> Signup and view all the answers

    What are adjacent angles?

    <p>Two angles that share a common vertex and common side but do not have overlapping interiors.</p> Signup and view all the answers

    Define angle bisector.

    <p>A ray in the interior of the angle that divides it into two congruent angles.</p> Signup and view all the answers

    What are vertical angles?

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

    What does perpendicular mean?

    <p>Two lines are perpendicular if they intersect to form a right angle.</p> Signup and view all the answers

    Define perpendicular bisector.

    <p>If a perpendicular line happens to pass through the midpoint of a segment.</p> Signup and view all the answers

    What is a transversal?

    <p>When a line intersects a pair of lines.</p> Signup and view all the answers

    Study Notes

    Basic Geometric Terms

    • Point: A location represented with no dimensions (length, width, depth).
    • Line: An infinite length with no width or depth, straight and unbending.
    • Plane: An infinitely flat surface defined by infinite length and width, with no depth.

    Relationships in Geometry

    • Congruence: Describes figures that are identical in size and shape.
    • Midpoint: The point that equally divides a line segment into two equal lengths.
    • Bisector: A line, ray, or segment that intersects a segment at its midpoint.

    Points and Lines

    • Collinear Points: At least two points that lie on the same straight line.
    • Segments: Portions of a line determined by two endpoints, measurable in length.
    • Ray: A part of a line that starts at a point and extends infinitely in one direction.

    Angles and Their Properties

    • Angle: Formed by the intersection of two rays.
    • Adjacent Angles: Angles that share a vertex and a side but do not overlap.
    • Angle Bisector: A ray that divides an angle into two equal angles.

    Lines in Relation to Each Other

    • Space: The complete set of points, extending infinitely in all dimensions (length, width, depth).
    • Coplanar Lines: Lines that reside within the same plane.
    • Intersecting Lines: Lines that meet at precisely one point.
    • Parallel Lines: Lines that remain equidistant from each other with no intersection points.

    Special Angle Relationships

    • Vertical Angles: Nonadjacent angles created by two intersecting lines.
    • Perpendicular Lines: Lines that cross to form a right (90-degree) angle.
    • Perpendicular Bisector: A line that intersects a segment at its midpoint and is perpendicular to that segment.

    Transversals

    • Transversal: A line that crosses two or more lines in a plane, causing a variety of angle relationships.

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    Description

    Test your understanding of fundamental geometry concepts with these flashcards for Math 144 Quiz 1. Each card presents a key term along with its precise definition, helping you reinforce your knowledge of points, lines, planes, and congruence. Perfect for quick reviews and study sessions!

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