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Points, Lines & Planes

Chapter 1 explores the foundational concepts of geometry including points, lines, and planes. A point, which has no dimension, is represented by a dot and named with a capital letter. Lines, defined by a series of points that extend infinitely in both directions, are identified by any two points on them. Collinear points lie on the same line, while a plane extends infinitely in two dimensions without thickness. Key postulates help solidify understanding: through any two points, there is exactly one line, and intersections of lines and planes are clearly defined.

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Points, Lines & Planes

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  1. Points, Lines & Planes Chapter 1-2

  2. Point • A point has no dimension. • It is represented by a dot. • It is named by a capital letter. A

  3. Line • A line has one dimension. • It is a series of points that extends in 2 directions without end. A line has arrowheads on each side to show it continues on and on. • You can use any 2 points on a line to name it.

  4. Collinear • Points that lie on the same line are COLLINEAR.

  5. Plane • A plane has two dimensions. • It is a flat surface that extends in all directions without end, but it has no thickness. • You can name a plane either by using a capital letter or by naming 3 noncollinear points in the plane.

  6. Coplanar • Points and/or lines on the same plane are coplanar.

  7. Are you ready for some football?

  8. Postulate • An accepted statement of FACT.

  9. Postulate 1-1 • Through any two points there is exactly one line. • Linel is the only line that can pass through points A and B.

  10. Postulate 1-2 • IF two lines intersect, then they intersect at exactly one point.

  11. Postulate 1-3 • If two planes intersect, they intersect in a line.

  12. Postulate 1-4 • Through any three noncollinear points, there is exactly one plane.

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