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Section 1-2

Section 1-2. Points, Lines and Planes. A Point. A. A point represents a position in space. It is named using capital printed letters. A Line. Two points determine a line. A line is an infinite set of points that extends in two directions without ending.

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Section 1-2

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  1. Section 1-2 Points, Lines and Planes

  2. A Point A A point represents a position in space. It is named using capital printed letters.

  3. A Line • Two points determine a line. • A line is an infinite set of points that extends in two directions without ending. • It is named using a single lower case cursive letter or by two points on the line, l A B AB

  4. Noncollinear Collinear • Points that ARE NOT on the same line. • Points that are on the same line.

  5. A Plane A • At least three noncollinear points determine a plane. • A plane is an infinite amount of points that creates a flat surface that extends without ending. • Has no thickness • Usually pictured as a parallelogram, although it has NO edges • It is named using a capital cursive letter B C M

  6. Noncoplanar Coplanar • Points in the same plane • Points NOT in the same plane

  7. F C D B A Example 1 • Name collinear points • Name coplanar points • c.Name 3 points that are not coplanar A, B, C A, B, D, F, C G C, G, F

  8. Line Segment A B • Part of a line consisting of two endpoints and all points in between • It is named using the two endpoints, AB

  9. A B Ray • Part of a line with an initial point and all points going in one direction • It is named using the endpoint first followed by another letter on the ray, AB • Why can’t we name the ray above as BA?

  10. A C B Opposite Rays • Have the same initial point going in opposite directions (180°) • CA and CB

  11. l p k Intersection • Two or more geometric figures intersect if they have one or more points in common. • Line l and k intersect at point p

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