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In this lesson, we explore the foundational concepts of geometry, including points, lines, segments, and rays. A point is defined as a specific location in space with no size, denoted by capital letters. Lines consist of infinite points extending in both directions without thickness, while segments are parts of a line with two endpoints. Rays have one endpoint and extend infinitely in one direction. Additionally, we examine collinear and non-collinear points, planes, and the relationships between intersecting, parallel, and skew lines.
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Points, Lines, Segments, and Rays Lesson 8-1
Points A point is a location in space. It has no size. It is named by a capital letter. . Read it as: “Point A” Write it as: “A” A
Lines A line is a series of points that extends in two opposing directions without end. Lines have no thickness. Q S Read it as: “Line QS” or “Line SQ” Write it as: QS or SQ
Segments A segment is a part of a line with two endpoints. R B Read it as: “Segment RB” or “Segment BR” Write it as: RB or BR
Rays A ray consists of an endpoint and all the points of a line on one side of the endpoint. C D Read it as: “Ray CD” (the order does matter) Write it as: CD
Collinear and Noncollinear Points • Points that are on the same line are called collinear points. • If a single line cannot be drawn through all the points, then the points are noncollinear. W U E F C D X V Collinear points Noncollinear points
Planes A plane is a flat surface with no thickness that extends without end in all directions. Intersecting lines are lines that cross (intersect) at exactly one point. Parallel lines are lines that do not cross (they have no points in common). Skew lines are not parallel and they do not intersect. They lie in different planes.
