Geometry Definitions Flashcards
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Questions and Answers

What are collinear points?

  • Points that do not lie on the same line
  • Points that bisect each other
  • Points that form a triangle
  • Points that lie on the same line (correct)

    • What are noncollinear points?

  • Points that lie on the same line
  • Points that do not lie on the same line (correct)
  • Points that are adjacent
  • Points that form a right angle

    • What is a line segment?

    A part of a line consisting of two points and the set of all points between them.

    What are congruent line segments?

    <p>Line segments that have equal lengths.</p> Signup and view all the answers

    What does the betweenness of points indicate?

    <p>If FG + GH = FH, then G is between F and H.</p> Signup and view all the answers

    What defines a ray?

    <p>A part of a line consisting of a given point and all points on one side of it.</p> Signup and view all the answers

    What is an angle?

    <p>The union of two rays having the same endpoint.</p> Signup and view all the answers

    What are congruent angles?

    <p>Angles that have equal measures.</p> Signup and view all the answers

    How can rays be determined to be in a betweenness relationship?

    <p>Ray PS is between Ray PQ and Ray PR if point S lies in the interior of Angle QPR.</p> Signup and view all the answers

    What is a right angle?

    <p>An angle with a measure of 90 degrees.</p> Signup and view all the answers

    What is an acute angle?

    <p>An angle with a measure of less than 90 degrees.</p> Signup and view all the answers

    What is an obtuse angle?

    <p>An angle with a measure greater than 90 degrees but less than 180 degrees.</p> Signup and view all the answers

    What is the midpoint of a line segment?

    <p>The point that divides the line segment into two congruent segments.</p> Signup and view all the answers

    What is a segment bisector?

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

    What is an angle bisector?

    <p>Ray OR is the bisector of Angle PON if R lies in the interior of Angle PON.</p> Signup and view all the answers

    What are complementary angles?

    <p>Angles with measures that add to 90 degrees.</p> Signup and view all the answers

    What are supplementary angles?

    <p>Angles with measures that add to 180 degrees.</p> Signup and view all the answers

    What are adjacent angles?

    <p>Angles that share a common vertex and side, but have no interior points in common.</p> Signup and view all the answers

    What defines a linear pair?

    <p>Two adjacent angles whose exterior sides form a straight line.</p> Signup and view all the answers

    What are vertical angles?

    <p>A pair of non-adjacent angles formed by two intersecting lines.</p> Signup and view all the answers

    What are perpendicular lines?

    <p>Lines which intersect to form right angles.</p> Signup and view all the answers

    What is a perpendicular bisector?

    <p>A line that is perpendicular to a line segment and intersects it at its midpoint.</p> Signup and view all the answers

    What is the distance between two points?

    <p>The length of the line segment joining the points.</p> Signup and view all the answers

    What is the distance between a line and a point not on the line?

    <p>The length of the perpendicular segment drawn from the point to the line.</p> Signup and view all the answers

    What are parallel lines?

    <p>Lines that lie in the same plane and never intersect.</p> Signup and view all the answers

    What does it mean for points to be coplanar?

    <p>Lines, segments, rays, or points which lie in the same line.</p> Signup and view all the answers

    What is a transversal?

    <p>A line that intersects two or more lines at different points.</p> Signup and view all the answers

    What is a polygon?

    <p>A geometric figure whose sides are line segments.</p> Signup and view all the answers

    What defines a triangle?

    <p>A polygon that has 3 sides.</p> Signup and view all the answers

    What is a scalene triangle?

    <p>A triangle with no congruent sides.</p> Signup and view all the answers

    What is an isosceles triangle?

    <p>A triangle with at least two congruent sides.</p> Signup and view all the answers

    What is an equilateral triangle?

    <p>A triangle with all three congruent sides.</p> Signup and view all the answers

    What is an acute triangle?

    <p>A triangle with all three angles less than 90 degrees.</p> Signup and view all the answers

    What is a right triangle?

    <p>A triangle with one angle that measures 90 degrees.</p> Signup and view all the answers

    What is an obtuse triangle?

    <p>A triangle with one angle greater than 90 degrees.</p> Signup and view all the answers

    What is an equiangular triangle?

    <p>A triangle with all three angles having equal measures.</p> Signup and view all the answers

    What is an exterior angle of a polygon?

    <p>An angle that forms a linear pair with one of the interior angles of the polygon.</p> Signup and view all the answers

    What are congruent triangles?

    <p>Triangles with congruent corresponding angles and sides.</p> Signup and view all the answers

    Study Notes

    Points and Lines

    • Collinear points lie on the same line; noncollinear points do not.
    • A line segment has two endpoints and includes all points between them.
    • Congruent line segments are equal in length.
    • Betweenness of points defines that if two segments' lengths sum to a third, a point is between the endpoints.

    Rays and Angles

    • A ray consists of an endpoint and all points extending in one direction.
    • Angles form by the union of two rays sharing a vertex; the rays are known as sides.
    • Congruent angles share equal measures, while complementary angles sum to 90 degrees.
    • Supplementary angles add up to 180 degrees.

    Angle Relationships

    • Adjacent angles share a vertex, a common side, and have no common interior points.
    • A linear pair consists of two adjacent angles whose exterior sides form a straight line.
    • Vertical angles are non-adjacent angles formed where two lines intersect.

    Lines and Their Intersections

    • Perpendicular lines intersect to form right angles (90 degrees).
    • A perpendicular bisector divides a line segment into two equal parts at a right angle.
    • Distance between points refers to the length of the connecting line segment.
    • The distance from a point to a line is measured perpendicularly to the line.

    Parallel Lines and Transversals

    • Parallel lines lie in the same plane and never intersect.
    • A transversal intersects two or more lines at distinct points.

    Polygons and Triangles

    • A polygon is a closed geometric figure made up of line segments.
    • A triangle, a specific type of polygon, has three sides and can be classified by side length or angle measure.
    • Types of triangles include scalene (no equal sides), isosceles (two equal sides), equilateral (all sides equal), acute (all angles < 90°), right (one angle = 90°), and obtuse (one angle > 90°).
    • An equiangular triangle has all angles equal.

    Triangle and Angle Properties

    • Exterior angles of a polygon result from the linear pair formed with interior angles.
    • Two triangles are congruent if their corresponding angles and sides can be paired as congruent.

    Additional Concepts

    • Midpoint of a line segment divides it into two congruent segments.
    • A segment bisector passes through a segment's midpoint.
    • Angle bisectors split an angle into two equal angles.

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    Description

    Test your knowledge of fundamental geometry terms with these flashcards. This quiz covers key definitions essential for understanding geometric concepts, including collinear points, line segments, and congruence. Perfect for students or anyone looking to refresh their geometry vocabulary.

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