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When the segment (side) of a figure passes through the center of dilation, the segment (side) of the pre-image and its image will be on the same line. In the diagram at the right, with center of dilation at (0,-2) and scale factor of 2, we notice that passes through the center of dilation, (0,-2), which means that and will be on the same line, .
Aug 12, 2022 · A line segment can be very long, very short, or somewhere in between. The difference between a line and a line segment is that the line segment has two endpoints and a line goes on forever. A line segment is denoted by its two endpoints, as in \(\overline{CD}\). Figure \(\PageIndex{3}\): Line segment CD
v. t. e. In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. It is a special case of an arc, with zero curvature. The length of a line segment is given by the Euclidean distance between its endpoints.
Line segments are seen in many common 2D shapes and make up all sides of polygons. For example, Each side of a square is made up of line segments – parts of straight lines. There are also many examples of line segments in real life. For example, A side of a ruler is straight and has clear endpoints. It can be represented with a line segment.
Example 1: Identify if the given figure is a line segment, a line, or a ray. Solution: The figure has one starting point but an arrow on the other end. This shows that it is not a line segment or a line, it is a ray. Therefore, LM is a ray. Example 2: Name the line segments in the given triangle.
Aug 13, 2024 · Introduction. A point and a line are considered as one of the most fundamental building blocks of geometry. A line segment, a ray and a plane are the geometrical objects which can not be drawn without the help of a point and line. This chapter discusses the definitions and examples of point, line, ray, line segment and a plane.
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The line segment 𝐵𝐷 passes through point 𝐶. Let’s consider another example like this. Does the given figure allow you to conclude that the ray starting at 𝐶 and passing through 𝐷 passes through point 𝐵.
