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Jan 18, 2017 · Addeddate 2017-01-18 08:33:45 Identifier in.ernet.dli.2015.50205 Identifier-ark ark:/13960/t6353wr96 Ocr ABBYY FineReader 11.0
- Points
- Lines
- Line Segment
- Mid-Point
- Rays
- Space
A “dot” on a piece of paper can be considered as a point. A point has no length, width, or height. It just specifies an exact location. It is zero-dimensional. The following is a diagram of points A, B, and M.
A line is one-dimensional, that is, a line has length, but no width or height. A line extends forever in both directions. A line is uniquely determined by two points. The line passing through points A and B is denoted by
A line segment connects two endpoints. A line segment with two endpoints, A and B, is denoted by. A line segment can also be drawn as part of a line.
The midpoint of a segment divides it into two segments of equal length. The diagram below shows the midpoint M of the line segment. Since M is the midpoint, we know that the lengths AM = MB.
A ray starts from one endpoint and extends forever in one direction. A ray starting from point A and passing through B is denoted by . Planes are two-dimensional. A plane has length and width but no height, and extends infinitely on all sides. Planes are thought of as flat surfaces, like a tabletop. A plane is made up of an infinite amount of lines...
Space is the set of all points in the three dimensions – length, width, and height. It is made up of an infinite number of planes. Figures in space are called solids. Stay tuned to BYJU’S to get the latest updates on CAT 2023. Learn various other important topics of the CAT Quantitative Aptitude section at BYJU’S.
extends without end in two directions, and is named by two points on the line or a lowercase script letter. A plane extends in two dimensions. It is usually represented by a shape that looks like a tabletop or wall.
Nov 20, 2024 · Identify and describe points, lines, and planes. Express points and lines using proper notation. Determine union and intersection of sets. In this section, we will begin our exploration of geometry by looking at the basic definitions as defined by Euclid.
- Defining Lines. For the following exercises, use this line (Figure 10.4). Figure 10.4. Define DE¯DE¯. Define FF. Define DF↔DF↔. Define EF¯EF¯. Solution.
- Determining the Best Route. View the street map (Figure 10.6) as a series of line segments from point to point. For example, we have vertical line segments AB¯AB¯, BC¯,BC¯, and CD¯CD¯ on the right.
- Identifying Parallel and Perpendicular Lines. Identify the sets of parallel and perpendicular lines in Figure 10.9. Figure 10.9. Solution. Drawing these lines on a grid is the best way to distinguish which pairs of lines are parallel and which are perpendicular.
- Defining Union and Intersection of Sets. Use the line (Figure 10.10) for the following exercises. Draw each answer over the main drawing. Figure 10.10.
a plane, we need to choose a convenient point, say O as origin. Let P and P ′ be the positions of the object at time t and t′, respectively [Fig. 4.1(a)]. We join O and P by a straight line. Then, OP is the position vector of the object at time t. An arrow is marked at the head of this line. It is represented by a symbol r, i.e. OP = r ...
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Aug 13, 2024 · This chapter discusses the definitions and examples of point, line, ray, line segment and a plane. How two or more than two lines can make when meet at some point for example intersecting lines, perpendicular lines, parallel lines, transversal lines and concurrent lines with the help of diagrams.
