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Understanding Points, Lines, and Planes in Geometry

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This lesson covers the foundational concepts of geometry including undefined terms: point, line, and plane. Students will learn about collinear points and coplanar points, illustrating these concepts through examples. Key postulates are introduced, such as the uniqueness of a line through two points, the intersection of lines and planes, and the relationship between noncollinear points and planes. The lesson includes practice problems to reinforce understanding, ensuring students can accurately describe and work with these geometric concepts.

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Understanding Points, Lines, and Planes in Geometry

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Presentation Transcript

  1. Points, Lines and Planes 1-2

  2. I can…. • Describe the undefined terms: point, line and plane.

  3. Undefined Terms

  4. Co- • ___________ points are points that lie on the same line. • Points and lines that lie in the same plane are _____________. • All of the points of a line are ____________.

  5. Example • Are points E, F, and C collinear? • If so, name the line on which they lie. • Are points E, F and D collinear? • If so, name the line on which they lie.

  6. Example • Name the planes.

  7. Postulate 1-1 • A _______________ or ________ is an accepted statement of fact. • Postulate 1-1: Through any two points there is exactly one line.

  8. Postulate 1-2 • If two lines intersect, then they intersect in exactly one point.

  9. Postulate 1-3 • If two planes intersect, then they intersect in exactly one line.

  10. Example • What is the intersection of the planes.

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

  12. Example • Name the plane that contains the following points:

  13. Homework • p. 13 • To turn in: 2, 10, 14, 18, 24, 32, 36, 42, 50, 52, 56, 60, 62, 64, 66, 80 • BONUS: 82

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