Introduction to Geometry
14 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the meaning of the word 'Geometry'?

measurement of earth

How is a point represented?

by a fine dot marked with a sharp-edged pencil

Which of the following has a definite length?

  • Ray
  • Point
  • Curve
  • Line Segment (correct)
  • A line extends endlessly in both directions.

    <p>True</p> Signup and view all the answers

    A _____ has one end point and extends endlessly in one direction.

    <p>ray</p> Signup and view all the answers

    Define a parallelogram.

    <p>A quadrilateral in which the opposite sides are parallel.</p> Signup and view all the answers

    What is the property of opposite sides in a parallelogram?

    <p>Parallel and equal</p> Signup and view all the answers

    Define a rhombus.

    <p>A parallelogram having all sides equal</p> Signup and view all the answers

    What kind of objects are mentioned to have circular shapes in the content?

    <p>Bangle, wheel, coin</p> Signup and view all the answers

    What is the interior of a closed figure?

    <p>Part of the plane enclosed by the boundary of the figure</p> Signup and view all the answers

    What are linear boundaries of a figure?

    <p>Boundaries consisting of straight lines only</p> Signup and view all the answers

    What are curvilinear boundaries of a figure?

    <p>Boundaries that are not straight lines</p> Signup and view all the answers

    What is the interior of a closed figure?

    <p>Part of the plane enclosed by the boundary of the figure</p> Signup and view all the answers

    What is the exterior of a closed figure?

    <p>Part of the plane lying outside the boundary of the figure</p> Signup and view all the answers

    Study Notes

    Introduction to Geometry

    • The word "Geometry" comes from two Greek words: "Geo" meaning earth and "metron" meaning measurement.
    • Geometry was initially used in land measurement but is now widely used in various fields of daily life.

    Points

    • A point is a mark of position, represented by a capital letter (e.g., A, B, P, Q).
    • A point has no length, breadth, or depth (or thickness).

    Line Segments

    • A line segment is a straight path between two points (e.g., AB).
    • A line segment has a definite length, which can be measured using a ruler.
    • A line segment can be represented by two different notations (e.g., AB or BA).

    Lines

    • A line is a set of points extending endlessly in both directions.
    • A line has no end points.
    • A line cannot be drawn on a paper, but a part of it can be represented by two arrow marks in opposite directions (e.g., AB ◄►).

    Rays

    • A ray is a line segment extended endlessly in one direction.
    • A ray has one end point, called its initial point.
    • A ray cannot be drawn on a paper, but a part of it can be represented by an arrow mark (e.g., AB).

    Distinction between Line Segments, Lines, and Rays

    • Line segment: has two end points, has a definite length, can be drawn on a paper.
    • Line: has no end points, does not have a definite length, cannot be drawn on a paper.
    • Ray: has one end point, does not have a definite length, cannot be drawn on a paper.

    Surfaces

    • A surface is a flat or curved boundary of a solid object.
    • Examples of surfaces include the surface of a wall, table, blackboard, and sheet of paper.

    Planes

    • A plane is a flat surface that extends indefinitely in all directions.
    • A plane cannot be drawn on a paper, but a part of it can be represented by a rectangle or parallelogram.

    Intersecting Lines and Points of Intersection

    • If two lines have a common point, they intersect at that point.
    • The point of intersection is the point common to both lines.

    Parallel Lines

    • Two lines in a plane that do not intersect, even when produced, are called parallel lines.
    • The distance between two parallel lines remains constant.

    Concurrent Lines

    • Three or more lines that pass through the same point are called concurrent lines.
    • The point through which these lines pass is called the point of concurrency.

    Curves

    • A curve is a figure traced out using a sharp-edged pencil without lifting the pencil.
    • Examples of curves include circles, ovals, and irregular curves.

    Closed and Open Figures

    • A closed figure begins and ends at the same point.
    • An open figure does not end at the starting point.

    Polygons

    • A polygon is a simple closed figure formed by three or more line segments.
    • Examples of polygons include triangles, quadrilaterals, pentagons, and hexagons.

    Triangles and Quadrilaterals

    • A triangle is a polygon with three sides.
    • A quadrilateral is a polygon with four sides.
    • Examples of quadrilaterals include rectangles, squares, parallelograms, and rhombi.

    Circles

    • A circle is a set of points equidistant from a fixed point called the center.
    • A circle can be drawn by tracing the boundary of a coin or a circular object.

    Interior and Exterior of a Closed Figure

    • The interior of a closed figure is the part of the plane enclosed by the boundary.
    • The exterior of a closed figure is the part of the plane lying outside the boundary.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Description

    Learn about the origin and meaning of the word Geometry, derived from Greek words 'Geo' and 'metron', and its ancient application in land measurement.

    More Like This

    Use Quizgecko on...
    Browser
    Browser